MCQOPTIONS
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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.
| 401. |
The three forces of 100 N, 200 N and 300 N have their lines of action parallel to each other but act in the opposite directions. These forces are known as |
| A. | Coplanar concurrent forces |
| B. | Coplanar non-concurrent forces |
| C. | Like parallel forces |
| D. | Unlike parallel forces |
| Answer» E. | |
| 402. |
According to Newton's first law of motion, |
| A. | Everybody continues in its state of rest or of uniform motion, in a straight line, unless it is acted upon by some external force |
| B. | The rate of change of momentum is directly proportional to the impressed force, and takes place in the same direction, in which the force acts |
| C. | To every action, there is always an equal and opposite reaction |
| D. | None of the above |
| Answer» B. The rate of change of momentum is directly proportional to the impressed force, and takes place in the same direction, in which the force acts | |
| 403. |
If rain is falling in the opposite direction of the movement of a pedestrian, he has to hold his umbrella |
| A. | More inclined when moving |
| B. | Less inclined when moving |
| C. | More inclined when standing |
| D. | Less inclined when standing |
| Answer» E. | |
| 404. |
From a circular plate of diameter 6 cm is cut out a circle whose diameter is a radius of the plate. Find the e.g. of the remainder from the centre of circular plate |
| A. | 0.5 cm |
| B. | 1.0 cm |
| C. | 1.5 cm |
| D. | 2.5 cm |
| Answer» B. 1.0 cm | |
| 405. |
The force induced in the string BC due to the load 'W' as shown in the below figure is |
| A. | W sinθ |
| B. | W cosθ |
| C. | W tanθ |
| D. | W cotθ |
| Answer» E. | |
| 406. |
The power developed by a body acted upon by a torque 'T' Newton meter (N - m) and revolving at ω radian/s is given by |
| A. | T.ω (in watts) |
| B. | T.ω/60 (in watts) |
| C. | T.ω/75 (in kilowatts) |
| D. | T.ω/4500 (in kilowatts) |
| Answer» B. T.ω/60 (in watts) | |
| 407. |
The ideal angle of banking provided on the curves on roads depends upon |
| A. | Weight of the vehicle |
| B. | (Velocity)2 of the vehicle |
| C. | Nature of the road surface |
| D. | Coefficient of friction between the road and vehicle contact point |
| Answer» C. Nature of the road surface | |
| 408. |
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 | |
| 409. |
Centre of gravity of a solid cone lies on the axis at the height |
| 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» B. One third of the total height above base | |
| 410. |
A pendulum which executes one beat per second is known as |
| A. | Simple pendulum |
| B. | Compound pendulum |
| C. | Torsional pendulum |
| D. | Second's pendulum |
| Answer» E. | |
| 411. |
For any system of coplanar forces, the condition of equilibrium is that the |
| A. | Algebraic sum of the horizontal components of all the forces should be zero |
| B. | Algebraic sum of the vertical components of all the forces should be zero |
| C. | Algebraic sum of moments of all the forces about any point should be zero |
| D. | All of the above |
| Answer» E. | |
| 412. |
The coefficient of friction depends upon |
| A. | Nature of surfaces |
| B. | Area of contact |
| C. | Shape of the surfaces |
| D. | All of the above |
| Answer» B. Area of contact | |
| 413. |
The energy possessed by a body, for doing work by virtue of its position, is called |
| A. | Potential energy |
| B. | Kinetic energy |
| C. | Electrical energy |
| D. | Chemical energy |
| Answer» B. Kinetic energy | |
| 414. |
The friction experienced by a body, when at rest, is known as |
| A. | Static friction |
| B. | Dynamic friction |
| C. | Limiting friction |
| D. | Coefficient of friction |
| Answer» B. Dynamic friction | |
| 415. |
According to parallel axis theorem, the moment of inertia of a section about an axis parallel to the axis through center of gravity (i.e. IP) is given by(where, A = Area of the section, IG = Moment of inertia of the section about an axis passing through its C.G., and h = Distance between C.G. and the parallel axis.) |
| A. | IP = IG + Ah2 |
| B. | IP = IG - Ah2 |
| C. | IP = IG / Ah2 |
| D. | IP = Ah2 / IG |
| Answer» B. IP = IG - Ah2 | |
| 416. |
Non-coplanar non-concurrent forces are those forces which |
| A. | Meet at one point, but their lines of action do not lie on the same plane |
| B. | Do not meet at one point and their lines of action do not lie on the same plane |
| C. | Do not meet at one point but their lines of action lie on the same plane |
| D. | None of the above |
| Answer» C. Do not meet at one point but their lines of action lie on the same plane | |
| 417. |
Coplanar concurrent forces are those forces which |
| A. | Meet at one point, but their lines of action do not lie on the same plane |
| B. | Do not meet at one point and their lines of action do not lie on the same plane |
| C. | Meet at one point and their lines of action also lie on the same plane |
| D. | Do not meet at one point, but their lines of action lie on the same plane |
| Answer» D. Do not meet at one point, but their lines of action lie on the same plane | |
| 418. |
Non-coplanar concurrent forces are those forces which |
| A. | Meet at one point, but their lines of action do not lie on the same plane |
| B. | Do not meet at one point and their lines of action do not lie on the same plane |
| C. | Meet at one point and their lines of action also lie on the same plane |
| D. | Do not meet at one point, but their lines of action lie on the same plane |
| Answer» B. Do not meet at one point and their lines of action do not lie on the same plane | |
| 419. |
Least force required to draw a body up the inclined plane is W sin (plane inclination + friction angle) applied in the direction |
| A. | Along the plane |
| B. | Horizontally |
| C. | Vertically |
| D. | At an angle equal to the angle of friction to the inclined plane |
| Answer» E. | |
| 420. |
The ratio of limiting friction and normal reaction is known as |
| A. | Coefficient of friction |
| B. | Angle of friction |
| C. | Angle of repose |
| D. | Sliding friction |
| Answer» B. Angle of friction | |
| 421. |
Coefficient of friction depends upon |
| A. | Area of contact only |
| B. | Nature of surface only |
| C. | Both (A) and (B) |
| D. | None of these |
| Answer» C. Both (A) and (B) | |
| 422. |
For a self locking machine, the efficiency must be |
| A. | Equal to 50% |
| B. | Less than 50% |
| C. | Greater than 50% |
| D. | 100% |
| Answer» C. Greater than 50% | |
| 423. |
During elastic impact, the relative velocity of the two bodies after impact is __________ the relative velocity of the two bodies before impact. |
| A. | Equal to |
| B. | Equal and opposite to |
| C. | Less than |
| D. | Greater than |
| Answer» C. Less than | |
| 424. |
The linear velocity of a body rotating at ω rad/s along a circular path of radius r is given by |
| A. | ω/r |
| B. | ω.r |
| C. | ω²/r |
| D. | ω².r |
| Answer» C. ω²/r | |
| 425. |
A smooth cylinder lying on its convex surface remains in __________ equilibrium. |
| A. | Stable |
| B. | Unstable |
| C. | Neutral |
| D. | None of these |
| Answer» C. Neutral | |
| 426. |
The maximum mechanical advantage of a lifting machine is |
| A. | 1 + m |
| B. | 1 - m |
| C. | 1 / m |
| D. | m |
| Answer» D. m | |
| 427. |
The below figure shows the two equal forces at right angles acting at a point. The value of force ‘R’ acting along their bisector and in opposite direction is |
| A. | P/2 |
| B. | 2P |
| C. | √2 × P |
| D. | P/√2 |
| Answer» D. P/√2 | |
| 428. |
The moment of inertia of a square of side (a) about an axis through its center of gravity is |
| A. | a4/4 |
| B. | a4/8 |
| C. | a4/12 |
| D. | a4/36 |
| Answer» D. a4/36 | |
| 429. |
A number of forces acting at a point will be in equilibrium, if |
| A. | All the forces are equally inclined |
| B. | Sum of all the forces is zero |
| C. | Sum of resolved parts in the vertical direction is zero (i.e. ∑V = 0) |
| D. | None of these |
| Answer» D. None of these | |
| 430. |
When two elastic bodies collide with each other, |
| A. | The two bodies will momentarily come to rest after collision |
| B. | The two bodies tend to compress and deform at the surface of contact |
| C. | The two bodies begin to regain their original shape |
| D. | All of the above |
| Answer» E. | |
| 431. |
A particle moves along a straight line such that distance (x) traversed in 't' seconds is given by x = t² (t - 4), the acceleration of the particle will be given by the equation |
| A. | 6t² - 8t |
| B. | 3t² + 2t |
| C. | 6f - 8 |
| D. | 6f - 4 |
| Answer» D. 6f - 4 | |
| 432. |
If tension in the cable supporting a lift moving downwards is half the tension when it is moving upwards, the acceleration of the lift is |
| A. | g/2 |
| B. | g/3 |
| C. | g/4 |
| D. | None of these |
| Answer» E. | |
| 433. |
The force required to move the body up the plane will be minimum if it makes an angle with the inclined plane __________ the angle of friction. |
| A. | Equal to |
| B. | Less than |
| C. | Greater than |
| D. | None of these |
| Answer» B. Less than | |
| 434. |
When the lift is moving upwards with some acceleration, the pressure exerted by a man is __________ to its acceleration. |
| A. | Directly proportional |
| B. | Inversely proportional |
| C. | Cube root |
| D. | None of these |
| Answer» B. Inversely proportional | |
| 435. |
The equivalent length of a simple pendulum which gives the same frequency as compound pendulum is |
| A. | h/(kG² + h²) |
| B. | (kG² + h²)/h |
| C. | h²/(kG² + h²) |
| D. | (kG² + h²)/h² |
| Answer» C. h²/(kG² + h²) | |
| 436. |
In the equation of virtual work, following force is neglected |
| A. | Reaction of any smooth surface with which the body is in contact |
| B. | Reaction of a rough surface of a body which rolls on it without slipping |
| C. | Reaction at a point or an axis, fixed in space, around which a body is constrained to turn |
| D. | All of the above |
| Answer» E. | |
| 437. |
An ideal machine is one whose efficiency is |
| A. | Between 60 and 70 % |
| B. | Between 70 and 80% |
| C. | Between 80 and 90% |
| D. | 100% |
| Answer» E. | |
| 438. |
The force induced in the string AB due to the load W, as shown in the below figure is |
| A. | W sinθ |
| B. | W cosθ |
| C. | W secθ |
| D. | W cosecθ |
| Answer» E. | |
| 439. |
The velocity of a body on reaching the ground from a height h, is |
| A. | 2.√(gh) |
| B. | √(gh) |
| C. | √(2gh) |
| D. | 2g.√h |
| Answer» D. 2g.√h | |
| 440. |
According to principle of moments |
| A. | If a system of coplanar forces is in equilibrium, then their algebraic sum is zero |
| B. | If a system of coplanar forces is in equilibrium, then the algebraic sum of their moments about any point in their plane is zero |
| C. | The algebraic sum of the moments of any two forces about any point is equal to moment of the resultant about the same point |
| D. | Positive and negative couples can be balanced |
| Answer» C. The algebraic sum of the moments of any two forces about any point is equal to moment of the resultant about the same point | |
| 441. |
According to Lami’s theorem |
| A. | The three forces must be equal |
| B. | The three forces must be at 120° to each other |
| C. | The three forces must be in equilibrium |
| D. | If the three forces acting at a point are in equilibrium, then each force is proportional to the sine of the angle between the other two |
| Answer» E. | |
| 442. |
Mass moment of inertia of a thin rod about its one end is ___________ the mass moment of inertia of the same rod about its mid-point |
| A. | Same as |
| B. | Twice |
| C. | Thrice |
| D. | Four times |
| Answer» E. | |
| 443. |
A force while acting on a body may |
| A. | Change its motion |
| B. | Balance the forces, already acting on it |
| C. | Give rise to the internal stresses in it |
| D. | All of these |
| Answer» E. | |
| 444. |
A force acting on a body may |
| A. | Change its motion |
| B. | Balance the other forces acting on it |
| C. | Retard its motion |
| D. | All of the above |
| Answer» E. | |
| 445. |
A couple produces |
| A. | Translatory motion |
| B. | Rotational motion |
| C. | Combined translatory and rotational motion |
| D. | None of the above |
| Answer» C. Combined translatory and rotational motion | |
| 446. |
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 | |
| 447. |
A smooth cylinder lying on a __________ is in neutral equilibrium. |
| A. | Curved surface |
| B. | Convex surface |
| C. | Horizontal surface |
| D. | None of these |
| Answer» D. None of these | |
| 448. |
Moment of inertia of a rectangular section having width (b) and depth (d) about an axis passing through its C.G. and parallel to the width (b), is |
| A. | db³/12 |
| B. | bd³/12 |
| C. | db³/36 |
| D. | bd³/36 |
| Answer» C. db³/36 | |
| 449. |
Moment of inertia of a rectangular section having width (b) and depth (d) about an axis passing through its C.G. and parallel to the depth (d), is |
| A. | db³/12 |
| B. | bd³/12 |
| C. | db³/36 |
| D. | bd³/36 |
| Answer» B. bd³/12 | |
| 450. |
The range of projectile will be maximum for a given velocity of projectile, when the angle of projection (α) is |
| A. | β/2 |
| B. | 30° + β/2 |
| C. | 45° + β/2 |
| D. | 60° + β/2 |
| Answer» D. 60° + β/2 | |