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MCQOPTIONS
This section includes 508 Mcqs, each offering curated multiple-choice questions to sharpen your GATE (Mechanical Engineering) knowledge and support exam preparation. Choose a topic below to get started.
| 451. |
If the masses of both the bodies, as shown in the below figure, are reduced to 50 percent, then tension in the string will be |
| A. | Same |
| B. | Half |
| C. | Double |
| D. | None of these |
| Answer» C. Double | |
| 452. |
The moment of inertia of a sphere of mass 'm' and radius 'r', about an axis tangential to it, is |
| A. | 2mr²/3 |
| B. | 2mr²/5 |
| C. | 7mr²/3 |
| D. | 7mr²/5 |
| Answer» E. | |
| 453. |
One end of a helical spring is fixed while the other end carries the load W which moves with simple harmonic motion. The frequency of motion is given by (where δ = Deflection of the spring.) |
| A. | 2π. √(g/δ) |
| B. | 1/2π. √(g/δ) |
| C. | 2π. √(δ/g) |
| D. | 1/2π. √(δ/g) |
| Answer» C. 2π. √(δ/g) | |
| 454. |
The resolved part of the resultant of two forces inclined at an angle 'θ' in a given direction is equal to |
| A. | The algebraic sum of the resolved parts of the forces in the given direction |
| B. | The sum of the resolved parts of the forces in the given direction |
| C. | The difference of the forces multiplied by the cosine of θ |
| D. | The sum of the forces multiplied by the sine of θ |
| Answer» B. The sum of the resolved parts of the forces in the given direction | |
| 455. |
The moment of inertia of a rectangular section 3 cm wide and 4 cm deep about X-X axis is |
| A. | 9 cm4 |
| B. | 12 cm4 |
| C. | 16 cm4 |
| D. | 20 cm4 |
| Answer» D. 20 cm4 | |
| 456. |
A ladder is resting on a smooth ground and leaning against a rough vertical wall. The force of friction will act |
| A. | Towards the wall at its upper end |
| B. | Away from the wall at its upper end |
| C. | Downward at its upper end |
| D. | Upward at its upper end |
| Answer» E. | |
| 457. |
A ladder is resting on a rough ground and leaning against a smooth vertical wall. The force of friction will act |
| A. | Downward at its upper end |
| B. | Upward at its upper end |
| C. | Zero at its upper end |
| D. | Perpendicular to the wall at its upper end |
| Answer» D. Perpendicular to the wall at its upper end | |
| 458. |
A weight of 1000 N can be lifted by an effort of 80 N. If the velocity ratio is 20, the machine is |
| A. | Reversible |
| B. | Non-reversible |
| C. | Ideal |
| D. | None of these |
| Answer» B. Non-reversible | |
| 459. |
Moment of inertia of a circular section about an axis perpendicular to the section is |
| A. | πd3/16 |
| B. | πd3/32 |
| C. | πd4/32 |
| D. | πd4/64 |
| Answer» D. πd4/64 | |
| 460. |
The linear acceleration (a) of a body rotating along a circular path of radius (r) with an angular acceleration of α rad/s2, is |
| A. | a = α/ r |
| B. | a = α.r |
| C. | a = r / α |
| D. | None of these |
| Answer» C. a = r / α | |
| 461. |
If a number of forces are acting at a point, their resultant is given by |
| A. | (∑V)2 + (∑H)2 |
| B. | √[(∑V)2 + (∑H)2] |
| C. | (∑V)2 +(∑H)2 +2(∑V)(∑H) |
| D. | √[(∑V)2 +(∑H)2 +2(∑V)(∑H)] |
| Answer» C. (∑V)2 +(∑H)2 +2(∑V)(∑H) | |
| 462. |
A framed structure is perfect, if the number of members are __________ (2j - 3), where j is the number of joints. |
| A. | Equal to |
| B. | Less than |
| C. | Greater than |
| D. | None of these |
| Answer» B. Less than | |
| 463. |
The resultant of two equal forces ‘P’ making an angle ‘θ’, is given by |
| A. | 2P sinθ/2 |
| B. | 2P cosθ/2 |
| C. | 2P tanθ/2 |
| D. | 2P cotθ/2 |
| Answer» C. 2P tanθ/2 | |
| 464. |
The angle which an inclined plane makes with the horizontal when a body placed on it is about to move down is known as angle of |
| A. | friction |
| B. | limiting friction |
| C. | repose |
| D. | kinematic friction |
| Answer» D. kinematic friction | |
| 465. |
In the lever of third order, load W, effort P and fulcrum F are oriented as follows |
| A. | W between P and F |
| B. | F between W and P |
| C. | P between W and F |
| D. | W, P and F all on one side |
| Answer» B. F between W and P | |
| 466. |
The M.I. of hollow circular section about a central axis perpendicular to section as compared to its M.I. about horizontal axis is |
| A. | same |
| B. | double |
| C. | half |
| D. | four times |
| Answer» C. half | |
| 467. |
The C.G. of a right circular solid cone of height h lies at the following distance from the base |
| A. | h/2 |
| B. | J/3 |
| C. | h/6 |
| D. | h/4 |
| Answer» E. | |
| 468. |
The C.G. of a plane lamina will not be at its geometrical centre in the case of a |
| A. | right angled triangle |
| B. | equilateral triangle |
| C. | square |
| D. | circle |
| Answer» B. equilateral triangle | |
| 469. |
Which of the following is not the unit of energy |
| A. | kg m |
| B. | kcal |
| C. | wattr |
| D. | watt hours |
| Answer» D. watt hours | |
| 470. |
Which of the following is the locus of a point that moves in such a manner that its distance from a fixed point is equal to its distance from a fixed line multiplied by a constant greater than one |
| A. | ellipse |
| B. | hyperbola |
| C. | parabola |
| D. | circle |
| Answer» C. parabola | |
| 471. |
If n = number of members andy = number of joints, then for a perfect frame, n = |
| A. | j-2 |
| B. | 2j-l |
| C. | 2/-3 |
| D. | 3/-2 |
| Answer» D. 3/-2 | |
| 472. |
If three forces acting in different planes can be represented by a triangle, these will be in |
| A. | non-equilibrium |
| B. | partial equilibrium |
| C. | full equilibrium |
| D. | unpredictable |
| Answer» B. partial equilibrium | |
| 473. |
If three forces acting in one plane upon a rigid body, keep it in equilibrium, then they must either |
| A. | meet in a point |
| B. | be all parallel |
| C. | at least two of them must meet |
| D. | all the above are correct |
| Answer» E. | |
| 474. |
A single force and a couple acting in the same plane upon a rigid body |
| A. | balance each other |
| B. | cannot balance each other |
| C. | produce moment of a couple |
| D. | are equivalent |
| Answer» C. produce moment of a couple | |
| 475. |
The algebraic sum of moments of the forces forming couple about any point in their plane is |
| A. | equal to the moment of the couple |
| B. | constant |
| C. | both of above are correct |
| D. | both of above are wrong |
| Answer» B. constant | |
| 476. |
The effort required to lift a load W on a screw jack with helix angle a and angle of friction |
| A. | Wtan(a + <)>) |
| B. | Wtan(a-<)>) |
| C. | Wcos(a + <t>) |
| D. | Wsin(a + <(>) |
| Answer» B. Wtan(a-<)>) | |
| 477. |
Limiting force of friction is the |
| A. | tangent of angle between normal-reaction and the resultant of normal reaction and limiting friction |
| B. | ratio of limiting friction and normal reaction |
| C. | the friction force acting when the body is just about to move |
| D. | the friction force acting when the body is in motion |
| Answer» D. the friction force acting when the body is in motion | |
| 478. |
A projectile is fired at an angle 9 to the vertical. Its horizontal range will be maximum when 9 is |
| A. | 0° |
| B. | 30° |
| C. | 45° |
| D. | 60° |
| Answer» D. 60° | |
| 479. |
A body of weight W on inclined plane of a being pulled up by a horizontal force P will be on the point of motion up the plane when P is equal to |
| A. | W sin (a + $) |
| B. | Wtan(a + <|)) |
| C. | Wan(a-<t>) |
| D. | Wtana. |
| Answer» C. Wan(a-<t>) | |
| 480. |
Pick up wrong statement about friction force for dry surfaces. Friction force is |
| A. | proportional to normal load between the surfaces |
| B. | dependent on the materials of contact surface |
| C. | proportional to velocity of sliding |
| D. | independent of the area of contact surfaces |
| Answer» D. independent of the area of contact surfaces | |
| 481. |
Coefficient of friction is the |
| A. | angle between normal reaction and the resultant of normal reaction and the limiting friction |
| B. | ratio of limiting friction and normal reaction |
| C. | the friction force acting when the body is just about to move |
| D. | tangent of angle of repose. |
| Answer» C. the friction force acting when the body is just about to move | |
| 482. |
On the ladder resting on the ground and leaning against a smooth vertical wall, the force of friction will be |
| A. | downwards at its upper end |
| B. | upwards at its upper end |
| C. | perpendicular to the wall at its upper end |
| D. | none of the above |
| Answer» E. | |
| 483. |
On a ladder resting on smooth ground and leaning against vertical wall, the force of friction will be |
| A. | towards the wall at its upper end |
| B. | away from the wall at its upper end |
| C. | upwards at its upper end |
| D. | downwards at its upper end |
| Answer» D. downwards at its upper end | |
| 484. |
Which one of the following statements is not correct |
| A. | the tangent of the angle of friction is equal to coefficient of friction |
| B. | the angle of repose is equal to angle of friction |
| C. | the tangent of the angle of repose is equal to coefficient of friction |
| D. | the sine of the angle of repose is equal to coefficient to friction |
| Answer» E. | |
| 485. |
Angle of friction is the |
| A. | angle between normal reaction and the resultant of normal reaction and the limiting friction |
| B. | ratio of limiting friction and normal reaction |
| C. | the ratio of minimum friction force to the friction force acting when the body is just about to move |
| D. | the ratio of minimum friction force to friction force acting when the body is in motion |
| Answer» B. ratio of limiting friction and normal reaction | |
| 486. |
The resultant of the following three couples 20 kg force, 0.5 m arm, $ ve sense 30 kg force, 1 m arm, - ve sense 40 kg force, 0.25 m arm, + ve sense having arm of 0.5 m will be |
| A. | 20 kg, - ve sense |
| B. | 20 kg, + ve sense |
| C. | 10 kg, + ve sense |
| D. | 10 kg, - ve sense |
| Answer» B. 20 kg, + ve sense | |
| 487. |
The center of percussion of a solid cylinder of radius r resting on a horizontal plane will be |
| A. | r/2 |
| B. | 2r/3 |
| C. | r/A |
| D. | 3r/2 |
| Answer» E. | |
| 488. |
Pick up the incorrect statement from the following : |
| A. | The C.G. of a circle is at its center |
| B. | The C.G. of a triangle is at the intersection of its medians |
| C. | The C.G. of a rectangle is at the inter-section of its diagonals |
| D. | The C.G. of a semicircle is at a distance of r/2 from the center |
| Answer» E. | |
| 489. |
A heavy string attached at two ends at same horizontal level and when central dip is very small approaches the following curve |
| A. | catenary |
| B. | parabola |
| C. | hyperbola |
| D. | velocity |
| Answer» C. hyperbola | |
| 490. |
The units of moment of inertia of mass are |
| A. | kg m2 |
| B. | m4 |
| C. | kg/m2 |
| D. | kg/m |
| Answer» B. m4 | |
| 491. |
The units of moment of inertia of an area are |
| A. | kg m2 |
| B. | m4 |
| C. | kg/m2 |
| D. | m3 |
| Answer» C. kg/m2 | |
| 492. |
Center of gravity of a thin hollow cone lies on the axis at a height of |
| A. | one-fourth of the total height above base |
| B. | one-third of the total height above base |
| C. | one-half of the total height above base |
| D. | three-eighth of the total height above the base |
| Answer» C. one-half of the total height above base | |
| 493. |
Center of percussion is |
| A. | the point of C.G. |
| B. | the point of metacentre |
| C. | the point of application of the resultant of all the forces tending to cause a body to rotate about a certain axis |
| D. | point of suspension |
| Answer» D. point of suspension | |
| 494. |
In detennining stresses in frames by methods of sections, the frame is divided into two parts by an imaginary section drawn in such a way as not to cut more than |
| A. | two members with unknown forces of the frame |
| B. | three members with unknown forces of the frame |
| C. | four members with unknown forces of the frame |
| D. | three members with known forces of the frame |
| Answer» C. four members with unknown forces of the frame | |
| 495. |
A heavy ladder resting on floor and against a vertical wall may not be in equilibrium, if |
| A. | the floor is smooth, the wall is rough |
| B. | the floor is rough, the wall is smooth |
| C. | the floor and wall both are smooth surfaces |
| D. | the floor and wall both are rough surfaces |
| Answer» D. the floor and wall both are rough surfaces | |
| 496. |
D' Alembert's principle is used for |
| A. | reducing the problem of kinetics to equivalent statics problem |
| B. | determining stresses in the truss |
| C. | stability of floating bodies |
| D. | designing safe structures |
| Answer» B. determining stresses in the truss | |
| 497. |
Which of the following is not a vector quantity |
| A. | weight |
| B. | velocity |
| C. | acceleration |
| D. | force |
| Answer» B. velocity | |
| 498. |
The magnitude of two forces, which when acting at right angle produce resultant force of VlOkg and when acting at 60° produce resultant of Vl3 kg. These forces are |
| A. | 2 and V6 |
| B. | 3 and 1 kg |
| C. | V5andV5 |
| D. | none of the above |
| Answer» D. none of the above | |
| 499. |
Which of the following is a vector quantity |
| A. | energy |
| B. | mass |
| C. | momentum |
| D. | angle |
| Answer» D. angle | |
| 500. |
According to principle of transmissibility of forces, the effect of a force upon a body is |
| A. | maximum when it acts at the center of gravity of a body |
| B. | different at different points in its line of action |
| C. | the same at every point in its line of action |
| D. | minimum when it acts at the C.G. of the body |
| Answer» D. minimum when it acts at the C.G. of the body | |