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MCQOPTIONS
This section includes 115 Mcqs, each offering curated multiple-choice questions to sharpen your Maharashtra CET knowledge and support exam preparation. Choose a topic below to get started.
| 1. |
The slender 200-kg beam is suspended by a cable at its end as shown. If a man pushes on its other end with a horizontal force of 30 N, determine the initial acceleration of its mass center G, the beam's angular acceleration, and the tension in the cable AB. |
| A. | aG = 0, = 0.225 rad/s2, T = 1.962 kN |
| B. | aG = 0.0750 m/s2, = 0.1125 rad/s2, T = 1.962 kN |
| C. | aG = 0, = 0.1125 rad/s2, T = 1.962 kN |
| D. | aG = 0.1500 m/s2, = 0.225 rad/s2, T = 1.962 kN |
| Answer» E. | |
| 2. |
If the cable CB is horizontal and the beam is at rest in the position shown, determine the tension in the cable at the instant the towing force F = 1500 N is applied. The coefficient of friction between the beam and the floor at A is A = 0.3. For the calculation, assume that the beam is a uniform slender rod having a mass of 100 kg. |
| A. | TCB = 636 N |
| B. | TCB = 1206 N |
| C. | TCB = 1016 N |
| D. | TCB = 347 N |
| Answer» B. TCB = 1206 N | |
| 3. |
A woman sits in a rigid position on her rocking chair by keeping her feet on the bottom rungs at B. At the instant shown, she has reached an extreme backward position and has zero angular velocity. Determine her forward angular acceleration and the frictional force at A necessary to prevent the rocker from slipping. The woman and the rocker have a combined weight of 180 lb and a raduis of gyration about G of kG = 2.2 ft. |
| A. | 0 |
| B. | 0 |
| C. | 0 |
| D. | 0 |
| Answer» C. 0 | |
| 4. |
A clown, mounted on stilts, loses his balance and falls backward from the position, where it is assumed the = 0 when = 07deg;. Paralyzed with fear, he remains rigid as he falls. His mass including the stilts is 80 kg, the mass center is at G, and the radius of gyration about G is kG = 1.2 m. Determine the coefficient of friction between his shoes and the ground at A if it is observed that slipping occurs when = 30°. |
| A. | 0.833 |
| B. | 0.468 |
| C. | 0.243 |
| D. | 0.4 |
| Answer» E. | |
| 5. |
The wheel has a weight of 30 lb, a radius of r = 0.5 ft, and a radius of gyration of kG = 0.23 ft. If the coefficient if friction between the wheel and the plane is = 0.2, determine the wheel's angular acceleration as it rolls down the incline. Set = 12°. |
| A. | 0 |
| B. | 0 |
| C. | 0 |
| D. | 0 |
| Answer» D. 0 | |
| 6. |
If the support at B is suddenly removed, determine the initial reactions at the pin A. The plate has a weight of 30 lb. |
| A. | Ax = 22.5 lb, Ay = 7.5 lb |
| B. | Ax = 0, Ay = 30.0 lb |
| C. | Ax = 11.25 lb, Ay = 18.75 lb |
| D. | Ax = 11.25 lb, Ay = 41.3 lb |
| Answer» D. Ax = 11.25 lb, Ay = 41.3 lb | |
| 7. |
The disk has a mass of 20 kg and is originally spinning at the end of the massless strut with an angular velocity of = 60 rad/s. If it is then placed against the wall, for which A = 0.3, determine the time required for the motion to stop. What is the force in strut BC during this time? |
| A. | t = 3.11 s, FBC = 193.1 N |
| B. | t = 2.65 s, FBC = 227 N |
| C. | t = 5.30 s, FBC = 227 N |
| D. | t = 6.21 s, FBC = 193.1 N |
| Answer» B. t = 2.65 s, FBC = 227 N | |
| 8. |
A cord wrapped around the inner core of a spool. If the cord is pulled with a constant tension of 30 lb and the spool is originally at rest, determine the spool's angular Velocity when s = 8 ft of cord have unraveled. Neglect the weight of the cord. The spool and cord have a total weight of 400 lb and the radius of gyration about the axle A is kA = 1.30 ft. |
| A. | 0 |
| B. | 0 |
| C. | 0 |
| D. | 0 |
| Answer» D. 0 | |
| 9. |
The 15-lb rod is pinned and has an angular velocity of = 5 rad/s when it is in the horizontal position shown. Determine the rod's angular acceleration and the pin reactions at this instant. |
| A. | 0 |
| B. | 0 |
| C. | 0 |
| D. | 0 |
| Answer» B. 0 | |
| 10. |
The dragster has a mass of 1.3 Mg and a center of mass at G. If a braking parachute is attached at C and provides a horizontal braking force FD, determine the maximum deceleration the dragster can have upon releasing the parachute without tipping the dragster over backwards (i.e., the normal force under the wheels and assume that the engine is disengaged so that the wheels are freely rolling. |
| A. | a = 16.35 m/s2 |
| B. | a = 8.46 m/s2 |
| C. | a = 2.75 m/s2 |
| D. | a = 35.0 m/s2 |
| Answer» B. a = 8.46 m/s2 | |
| 11. |
The 10-kg block rests on the platform for which = 0.4. If at the instant shown link AB has an angular velocity = 2 rad/s, determine the greatest angular acceleration of the link so that the block doesn't slip. |
| A. | 0 |
| B. | 0 |
| C. | 0 |
| D. | 0 |
| Answer» D. 0 | |
| 12. |
The sports car has a mass of 1.5 Mg and a center of mass at G. Determine the shortest time it takes for it to reach a speed of 80 km/h, starting from rest, if the engine only drives the rear wheels, whereas the front wheels are free rolling. The coefficient of friction between the wheels and road is = 0.2. Neglect the mass of the wheels for the calculation. |
| A. | t = 17.49 s |
| B. | t = 18.12 s |
| C. | t = 18.76 s |
| D. | t = 22.7 s |
| Answer» B. t = 18.12 s | |
| 13. |
Bar AB has a weight of 10 lb and is fixed to the carriage at A. Determine the internal axial force Ay, shear force V, and moment MA at A if the carriage is descending the plane with an acceleration of 4 ft/s2. |
| A. | Ay = 8.92 lb 8, Vx = 0.621 lb 7, MA = 0 |
| B. | Ay = 9.38 lb 8, Vx = 1.076 lb 7, MA = 1.076 lb-ft |
| C. | Ay = 8.92 lb 8, Vx = 0.621 lb 7, MA = 0.621 lb-ft |
| D. | Ay = 9.38 lb 8, Vx = 1.076 lb 7, MA = 0 |
| Answer» C. Ay = 8.92 lb 8, Vx = 0.621 lb 7, MA = 0.621 lb-ft | |
| 14. |
A truck T has a weight of 8,000 lb and is traveling along a portion of a road defined by the lemniscate r2 = 0.2(106) cos 2 , where r is measured in feet and is in radians. If the truck maintains a constant speed of vr = 4 ft/s, determine the magnitude of the resultant frictional force which must be exerted by all the wheels to maintain the motion when = 0. |
| A. | F = 29.2 lb |
| B. | F = 859 lb |
| C. | F = 87.5 lb |
| D. | F = 26.7 lb |
| Answer» E. | |
| 15. |
Rod OA rotates counterclockwise with a constant angular rate of = 5 rad/s. The double collar B is pin-connected together such that one collar slides over the rotating rod and the other slides over the horizontal curved rod, of which the shape is a limacon described by the equation r - 1.5(2 - cos ) ft. If both collars weigh 0.75 lb, determine the normal force which the curved path exerts on one of the collars, and the force that OA exerts on the other collar at the instant = 90°. |
| A. | FOA = 0.873 lb, Fcurve = 1.953 lb |
| B. | FOA = 0, Fcurve = 1.953 lb |
| C. | FOA = 1.747 lb, Fcurve = 0 |
| D. | FOA = 2.87 lb, Fcurve = 6.41 lb |
| Answer» B. FOA = 0, Fcurve = 1.953 lb | |
| 16. |
The spool, which has a weight of 2lb, slides along the smooth horizontal spiral rod, r = (2) ft, where is in radians. If its angular rate of rotation is constant and equals = 4 rad/s, determine the tangential force P needed to cause the motion and the normal force that the spool exerts on the rod at the instant = 90°. |
| A. | P = 0.499 lb, N = 5.03 lb |
| B. | P = 5.50 lb, N = 15.65 lb |
| C. | P = 3.35 lb, N = 2.43 lb |
| D. | P = 1.677 lb, N = 4.77 lb |
| Answer» E. | |
| 17. |
A smooth can C, having a mass of 2 kg, is lifted from a feed at A to a ramp at B by a forked rotating rod. If the rod maintains a constant angular motion of = 0.5 rad/s, determine the force which the rod exerts on the can at the instant = 30°. Neglect the effects of friction in the calculation. The ramp from A to B is circular, having a radius of 700 min. |
| A. | F = 19.62 N |
| B. | F = 11.33 N |
| C. | F = 10.63 N |
| D. | F = 12.03 N |
| Answer» C. F = 10.63 N | |
| 18. |
A particle having a mass of 1.5 kg, moves along a three-dimensional path defined by the equations r = 94 + 3t) m, = (t2 + 2) rad, and z = (6 - t3) m, where t is in seconds, and the z-axis is vertical. Determine the r, , and z components of force which the path exerts on the particle when t = 2 s. |
| A. | Fr = 0, F2 = 30 N, Fz = -18.00 N |
| B. | Fr = -240 N, F2 = 66.0 N, Fz = -3.29 N |
| C. | Fr = 0, F2 = 3 N, Fz = -18.00 N |
| D. | Fr = -160.0 N, F2 = 44.0 N, Fz = -12.00 N |
| Answer» C. Fr = 0, F2 = 3 N, Fz = -18.00 N | |
| 19. |
A ball having a mass of 2 kg slides without friction within a vertical circular slot. If it is released from rest when = 10°, determine the force it exerts on the slot when it arrives at points A and B. |
| A. | NA = 38.6 N, NB = 96.6 N |
| B. | NA = 30.9 N, NB = 61.8 N |
| C. | NA = 30.9 N, NB = 81.2 N |
| D. | NA = 38.6 N, NB = 77.3 N |
| Answer» B. NA = 30.9 N, NB = 61.8 N | |
| 20. |
The pendulum bob B has a weight of 5 lb and is released from rest in the position shown, =0°. Determine the tension in string BC just after the bob is released, = 0°, and also at the instant the bob reaches point D, = 45°. |
| A. | T0 = 0, T45 = 10.61 lb |
| B. | T0 = 0.1551 lb, T45 = 10.61 lb |
| C. | T0 = 0, T45 = 7.07 lb |
| D. | T0 = 0.1551 lb, T45 = 7.07 lb |
| Answer» B. T0 = 0.1551 lb, T45 = 10.61 lb | |
| 21. |
A tobbogan and rider have a total mass of 100 kg and travel down along the (smooth) slope defined by the equation y = 0.2x2. At the instant x = 8 m, the toboggan's speed is 4 m/s. At this point, determine the rate of increase in speed and the normal force which the toboggan exerts on the slope. Neglect the size of the toboggan and rider for the calculation. |
| A. | at = 8.32 m/s2, N = 520 N |
| B. | at = 8.32 m/s2, N = 537 N |
| C. | at = 9.36 m/s2, N = 310 N |
| D. | at = 9.36 m/s2, N = 293 N |
| Answer» D. at = 9.36 m/s2, N = 293 N | |
| 22. |
A boy twirls a 15-lb bucket of water in a vertical circle. If the radius of curvature of the path is 4 ft, determine the minimum speed the bucket must have when it is overhead at A so no water spills out. |
| A. | v = 11.35 ft/s |
| B. | v = 0 |
| C. | v = 6.26 ft/s |
| D. | v = 2.83 ft/s |
| Answer» B. v = 0 | |
| 23. |
Determine the acceleration of block A when the system is released. The coefficient of friction and the weight of each block are indicated in the figure. Neglect the mass of the pulleys and cords. |
| A. | aA = 7.50 ft/s2 Up the slope |
| B. | aA = 7.50 ft/s2 Down the slope |
| C. | aA = 4.28 ft/s2 Up the slope |
| D. | aA = 4.28 ft/s2 Down the slope |
| Answer» E. | |
| 24. |
A 1.5-lb brick is released from rest A and slides down the inclined roof. If the coefficient of friction between the roof and the brick is = 0.3, determine the speed at which the brick strikes the gutter G. |
| A. | v = 3.00 ft/s |
| B. | v = 2.68 ft/s |
| C. | v = 5.61 ft/s |
| D. | v = 15.23 ft/s |
| Answer» E. | |
| 25. |
The 2-kg shaft CA passes through a smooth journal bearing at B. Initially, the springs, which are coiled loosely around the shaft, are unstretched when no force is applied to the shaft. In this position s = sª = 250 and the shaft is originally at rest. If a horizontal force of F = 5 kN is applied, determine the speed of the shaft at the instant s = 50 mm, sª = 450 mm. The ends of the springs are attached to the bearing at B and the caps at C and A. |
| A. | v = 31.6 m/s |
| B. | v = 14.14 m/s |
| C. | v = 44.7 m/s |
| D. | v = 30.0 m/s |
| Answer» E. | |
| 26. |
The 30-lb crate is being hoisted upward with a constant acceleration of 6 ft/s2. If the uniform beam AB has a weight of 200 lb, determine the components of reaction at A. Neglect the size and mass of the pulley at B. |
| A. | Ax = -48.3 lb, Ay = 248.3 lb, MA = 258 lb-ft CCW |
| B. | Ax = -48.3 lb, Ay = 248.3 lb, MA = 741 lb-ft CCW |
| C. | Ax = -35.6 lb, Ay = 236 lb, MA = 678 lb-ft CCW |
| D. | Ax = -30.0 lb, Ay = 230 lb, MA = 650 lb-ft CCW |
| Answer» D. Ax = -30.0 lb, Ay = 230 lb, MA = 650 lb-ft CCW | |
| 27. |
Bourdon gauge measure |
| A. | Absolute pressure |
| B. | Gauge pressure |
| C. | Local atmospheric pressure |
| D. | Standard atmospheric pressure |
| Answer» C. Local atmospheric pressure | |
| 28. |
An isosceles triangular lamina of base 1 m and height 2 m is located in the water in a vertical plane and its vertex is 1 m below the free surface of the water. The position of force acting on the lamina from the free water surface is: |
| A. | 2.42 m |
| B. | 2.33 m |
| C. | 2.00 m |
| D. | 1.33 m |
| Answer» B. 2.33 m | |
| 29. |
A rectangular plate 0.75 m X 2.4 m is immersed in a liquid of relative density of 0.85 with its 0.75 m side horizontal and just at the water surface. If the plane of the plate makes an angle of 60° with the horizontal, then the pressure force on one side of the plate is _____. |
| A. | 7.8 kN |
| B. | 15.6 kN |
| C. | 18.0 kN |
| D. | 24.0 kN |
| Answer» C. 18.0 kN | |
| 30. |
An open rectangular box of base 2 m × 2 m contains a liquid of specific gravity 0.80 up to a height of 2.5 m. If the box is imparted a vertically upward acceleration of 4.9 m/s2, what will be the pressure on the base |
| A. | 0.81 kPa |
| B. | 19.62 kPa |
| C. | 36.80 kPa |
| D. | 29.40 kPa |
| Answer» E. | |
| 31. |
As the depth of immersion of a vertical plane surface increases, the location of centre of pressure |
| A. | falls closer to the centre of gravity of the area |
| B. | moves away from the centre of gravity of the area |
| C. | ultimately coincides with the centre of gravity of the area |
| D. | None of these |
| Answer» B. moves away from the centre of gravity of the area | |
| 32. |
A mercury water manometer has a gauge difference of 0.8 m. The difference in pressure measured in metres of water is |
| A. | 0.8 |
| B. | 1.06 |
| C. | 10.05 |
| D. | 8.02 |
| Answer» D. 8.02 | |
| 33. |
A house-top water tank is made of flat plates and is full to the brim. Its height is twice that of any side. The ratio of total thrust force on the bottom of the tank to that on any side will be: |
| A. | 4 |
| B. | 2 |
| C. | 1 |
| D. | 0.5 |
| Answer» D. 0.5 | |
| 34. |
A rectangular plate 1 m wide and 2 m depth is held just below the surface of the water. The total pressure on this lamina is: |
| A. | 2 kN |
| B. | 19.62 kN |
| C. | 9.81 kN |
| D. | 98.1 kN |
| Answer» C. 9.81 kN | |
| 35. |
100 m of water column is equal to |
| A. | 1000 kN/m2 |
| B. | 100 kN/m2 |
| C. | 10 kN/m2 |
| D. | 1 kN/m2 |
| Answer» B. 100 kN/m2 | |
| 36. |
A water tank whose base measures 2 m × 2 m is 4 m high. It is filled with water up to three meters, the total effect of pressure on its bottom will be - |
| A. | 1200 kg |
| B. | 12000 kg |
| C. | 1,20,000 kg |
| D. | 120 kg |
| Answer» C. 1,20,000 kg | |
| 37. |
Magnitude of hydrostatic resultant force (F) acting on completely submerged plane surface is: |
| A. | (Equal to the pressure at centroid of surface) × (Area of surface) |
| B. | (Higher than the pressure at centroid of surface) × (Area of surface) |
| C. | (Lower than the pressure at centroid of surface) × (Area of surface) |
| D. | (Atmospheric pressure) × (Area of surface |
| Answer» B. (Higher than the pressure at centroid of surface) × (Area of surface) | |
| 38. |
Identify the incorrect statement, from the following options:The total hydrostatic force on a flat thin sheet, immersed horizontally in the water, ________. |
| A. | Can be considered to pass through its centre of gravity |
| B. | Is distributed along the edge |
| C. | Can be considered to pass through its centre of pressure |
| D. | Passes through a point that can be found by taking first moments of the area about x and y axes |
| Answer» C. Can be considered to pass through its centre of pressure | |
| 39. |
A pressure gauge fitted on the side of a tank filled with liquid reads 50 kPa and 100 kPa at heights of 5 m and 10 m.What is the approximate density of the liquid (in kg/m3)? (take g = 10) |
| A. | 10 |
| B. | 1000 |
| C. | 5000 |
| D. | 100 |
| Answer» C. 5000 | |
| 40. |
A hinged gate of length 5 m, inclined at 30° with the horizontal and with water mass on its left, is shown in the figure below. Density of water is 1000 kg/m3. The minimum mass of the gate in kg per unit width (perpendicular to the plane of paper), required to keep it closed is |
| A. | 5000 |
| B. | 6600 |
| C. | 7546 |
| D. | 9623 |
| Answer» E. | |
| 41. |
In a conventional Bourdon tube pressure gauge, the elastic element used for converting pressure to deformation is of ________ cross-section. |
| A. | square |
| B. | triangular |
| C. | elliptical |
| D. | circular |
| Answer» D. circular | |
| 42. |
A dam has a parabolic shape \(\frac{z}{{{z_0}}} = {\left( {\frac{x}{{{x_0}}}} \right)^2}\) as shown in the figure with x0 = 3 m and z0 = 7 m. The fluid is water (specific weight = 9810 N/m3) and atmospheric pressure may be omitted. Compute the horizontal force FH and its line of action from the surface of the water ‘d’. Assume width of dam is 15 m. |
| A. | FH = 3605 kN, d = 1.16 m |
| B. | FH = 3605 kN, d = 4.66 m |
| C. | FH = 4300 kN, d = 4.66 m |
| D. | FH = 4300 kN, d = 1.16 m |
| Answer» C. FH = 4300 kN, d = 4.66 m | |
| 43. |
A U tube manometer shown in the figure is used to measure the gauge pressure of water of density ρ1 = 1000 kg/m3. If the density of manometer liquid ρ2 is 12000 kg/m3, h1 = 0.5 m & h2 = 1.0 m, gauge pressure at ‘A’, the centre of tube is (take g = 10 m/s2) |
| A. | 125 kPa |
| B. | 115 kPa |
| C. | 60 kPa |
| D. | 5 kPa |
| Answer» C. 60 kPa | |
| 44. |
A rectangular tank 1.2 m deep and 2 m long is used to convey water up a ramp inclined at an angle of 30° to the horizontal. Calculate the inclination of the water surface to the horizontal when the acceleration parallel to the slope on starting from the bottom is 4 m/s2. |
| A. | 150°39' |
| B. | 139°39' |
| C. | 132°39' |
| D. | 163°39' |
| Answer» E. | |
| 45. |
At what depth below the free surface of oil having a density of 784 kg/m3 will the pressure be very nearly equal to 1 bar? |
| A. | 10 metres |
| B. | 14 metres |
| C. | 13 metres |
| D. | 7.84 metres |
| Answer» D. 7.84 metres | |
| 46. |
A 20 m high dam is filled with water up to the top. The force acting on the vertical dam wall (20 m high × 25 m wide) is given as (consider the density of water = 1000 kg/m3; g = acceleration due to gravity): |
| A. | 50,000/g kN |
| B. | 1000 kN |
| C. | 5g MN |
| D. | 25,000 N |
| Answer» D. 25,000 N | |
| 47. |
At a sluice gate across a rectangular channel, the upstream flow conditions are: depth of 2.0 m; velocity of flow of 1.25 m/sec. The flow conditions at the vena contracta just downstream of the gate can be taken as: depth of 0.44 m; velocity of flow of 5.68 m/sec. What is the total thrust on the gate on its upstream face (to the nearest 10 units)? |
| A. | 770 kgf |
| B. | 800 kgf |
| C. | 825 kgf |
| D. | 870 kgf |
| Answer» B. 800 kgf | |
| 48. |
Mercury is used in the barometer because: |
| A. | it is a perfect fluid |
| B. | its volume changes with temperature |
| C. | it is a liquid metal |
| D. | it gives less height of column for high pressure |
| Answer» E. | |
| 49. |
A piece of wood of volume V and specific gravity 0.87 floats on the surface of a liquid of a specific gravity 1.31. The portion of the body which is submerged in the liquid will be |
| A. | 0.355 V |
| B. | 0.665 V |
| C. | 0.87 V |
| D. | 0.13 V |
| Answer» C. 0.87 V | |
| 50. |
If a vertical circular plate of diameter 'd' is submerged in water, what is the depth of centre of pressure from the water surface? |
| A. | d/2 |
| B. | 3d/5 |
| C. | 5d/8 |
| D. | 4d/7 |
| Answer» D. 4d/7 | |