MCQOPTIONS
Saved Bookmarks
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.
| 51. |
A lift moves downwards with an acceleration of 9.8 m/s². The pressure exerted by a man on the floor of the lift is zero. |
| A. | True |
| B. | False |
| C. | Can't say |
| D. | None of these |
| Answer» B. False | |
| 52. |
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. | √2P |
| D. | P/√2 |
| Answer» D. P/√2 | |
| 53. |
A circular hole of 50 mm diameter is cut out from a circular disc of 100 mm diameter as shown in the below figure. The centre of gravity of the section will lie |
| A. | in the shaded area |
| B. | in the hole |
| C. | at O |
| D. | None of the above |
| Answer» B. in the hole | |
| 54. |
Non-coplaner 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 | |
| 55. |
If a number of forces acting at a point be represented in magnitude and direction by the three sides of a triangle, taken in order, then the forces are not in equilibrium. |
| A. | Agree |
| B. | Disagree |
| C. | Can't say |
| D. | None of these |
| Answer» C. Can't say | |
| 56. |
The angle which the normal reaction makes with the resultant reaction is called angle of friction. |
| A. | Agree |
| B. | Disagree |
| C. | Can't say |
| D. | None of these |
| Answer» B. Disagree | |
| 57. |
A machine which is not capable of doing any work in the reversed direction, after the effort is removed, is called a reversible machine. |
| A. | True |
| B. | False |
| C. | Can't say |
| D. | None of these |
| Answer» C. Can't say | |
| 58. |
The time taken by a particle for one complete oscillation is known as periodic time. |
| A. | Agree |
| B. | Disagree |
| C. | Can't say |
| D. | None of these |
| Answer» B. Disagree | |
| 59. |
If three forces acting at a point are represented in magnitude and direction by the three sides of a triangle, taken in order, then the forces are in equilibrium. |
| A. | Yes |
| B. | No |
| C. | Can't say |
| D. | None of these |
| Answer» B. No | |
| 60. |
Two bodies of masses m1,and m2 are hung from the ends of a rope, passing oyer a frictionless pulley as shown in the figure below. The acceleration of the string will be |
| A. | A |
| B. | B |
| C. | C |
| D. | D |
| Answer» B. B | |
| 61. |
If three coplaner forces acting on a point are in equilibrium, then each force is proportional to the sine, of the angle between the other two. |
| A. | Correct |
| B. | Incorrect |
| C. | Can't say |
| D. | None of these |
| Answer» B. Incorrect | |
| 62. |
A framed structure is imperfect, if the number of members are __________ (2j - 3). |
| A. | equal to |
| B. | less than |
| C. | greater than |
| D. | either (b) or (c) |
| Answer» E. | |
| 63. |
Non-coplaner 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 | |
| 64. |
Moment of inertia of a hollow rectangular section as shown in the below figure about Y-Y axis, is not the same as that about X-X axis. |
| A. | Yes |
| B. | No |
| C. | May be |
| D. | Can't say |
| Answer» B. No | |
| 65. |
Two forces are acting at an angle of 120°. The bigger force is 40N and the resultant is perpendicular to the smaller one. The smaller force is |
| A. | 20 N |
| B. | 40 N |
| C. | 80 N |
| D. | none of these |
| Answer» B. 40 N | |
| 66. |
In a framed structure, as shown in the below figure, the force in the member CD is tensile in nature. |
| A. | Agree |
| B. | Disagree |
| C. | Can't say |
| D. | None of the above |
| Answer» B. Disagree | |
| 67. |
The angle of the inclined plane at which a body just begins to slide down the plane, is called helix angle. |
| A. | True |
| B. | False |
| C. | Can't say |
| D. | None of these |
| Answer» C. Can't say | |
| 68. |
The efficiency of a screw jack is maximum, when(where α = Helix angle, and φ = Angle of friction.) |
| A. | α = 45° + φ/2 |
| B. | α = 45° - φ/2 |
| C. | α = 90° + φ |
| D. | α = 90° - φ |
| Answer» C. α = 90° + φ | |
| 69. |
If a body is thrown upwards, then the gravitational acceleration is taken as zero. |
| A. | Correct |
| B. | Incorrect |
| C. | Can't say |
| D. | None of these |
| Answer» C. Can't say | |
| 70. |
The below figure shows the three coplaner forces P, Q and R acting at a point O. If these forces are in equilibrium, then |
| A. | A |
| B. | B |
| C. | C |
| D. | D |
| Answer» C. C | |
| 71. |
Coplaner non-concurrent forces are those forces which __________ at one point, but their lines of action lie on the same plane. |
| A. | meet |
| B. | do not meet |
| C. | Can't say |
| D. | None of these |
| Answer» C. Can't say | |
| 72. |
The force applied on a body of mass 100 kg to produce an acceleration of 5 m/s², is |
| A. | 20N |
| B. | 100N |
| C. | 500N |
| D. | none of these |
| Answer» D. none of these | |
| 73. |
If P is the force acting on the body, m is the mass of the body and a is the acceleration of the body, then according to Newton's second law of motion, |
| A. | P + m.a = 0 |
| B. | P - m.a = 0 |
| C. | P x m.a = 0 |
| D. | P/m.a = 0 |
| Answer» C. P x m.a = 0 | |
| 74. |
The acceleration of a particle moving with simple harmonic motion is __________ at themean position. |
| A. | zero |
| B. | minimum |
| C. | maximum |
| D. | None of these |
| Answer» B. minimum | |
| 75. |
The centre of gravity of a triangle lies at a point where its medians intersect each other. |
| A. | True |
| B. | False |
| C. | Can't say |
| D. | None of these |
| Answer» B. False | |
| 76. |
A force acting in the opposite direction to the motion of the body is called force of friction. |
| A. | Agree |
| B. | Disagree |
| C. | Can't say |
| D. | None of these |
| Answer» B. Disagree | |
| 77. |
The velocity ratio for the second system of pulleys is n. |
| A. | True |
| B. | False |
| C. | Can't say |
| D. | None of these |
| Answer» B. False | |
| 78. |
The moment of inertia of a solid cylinder of mass m, radius r and length l about the longitudinal axis or polar axis is |
| A. | mr2/2 |
| B. | mr2/4 |
| C. | mr2/6 |
| D. | mr2/8 |
| Answer» B. mr2/4 | |
| 79. |
Coplaner 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 | |
| 80. |
When the lift is moving upwards with some acceleration, the pressure exerted by a man is __________ proportional to its acceleration. |
| A. | directly |
| B. | inversely |
| C. | Can't say |
| D. | None of these |
| Answer» B. inversely | |
| 81. |
The forces which meet at one point, but their lines of action __________ on the same plane, are Known as non-coplaner concurrent forces. |
| A. | lie |
| B. | do not lie |
| C. | Can't say |
| D. | None of these |
| Answer» C. Can't say | |
| 82. |
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. | |
| 83. |
Moment of inertia of a hollow circular section, as shown in the below figure about an axis perpendicular to the section, is __________ than that about X-X axis. |
| A. | two times |
| B. | same |
| C. | half |
| D. | None of the above |
| Answer» B. same | |
| 84. |
If a body is acted upon by a number of coplaner non-concurrent forces, it may |
| A. | rotate about itself without moving |
| B. | move in any one direction rotating about itself |
| C. | be completely at rest |
| D. | all of these |
| Answer» E. | |
| 85. |
The terms 'leverage' and 'mechanical advantage' Of a compound lever have got the same meaning. |
| A. | Correct |
| B. | Incorrect |
| C. | Can't say |
| D. | None of these |
| Answer» B. Incorrect | |
| 86. |
When a body of mass moment of inertia I (about a given axis) is rotated about that axis with an angular velocity to, then the kinetic energy of rotation is |
| A. | Iω |
| B. | Iω² |
| C. | 0.5Iω |
| D. | 0.5Iω² |
| Answer» E. | |
| 87. |
The frequency of oscillation of a compound pendulum is(where kG = Radius of gyration about the centroidal axis, and h = Distance between the point of suspension and C.G. of the body.) |
| A. | 2π. √(gh/kG² + h²) |
| B. | 2π. √(kG² + h²/gh) |
| C. | 1/2π. √(gh/kG² + h²) |
| D. | 1/2π. √(kG² + h²/gh) |
| Answer» D. 1/2π. √(kG² + h²/gh) | |
| 88. |
In a wormed geared pulley block, if the number of teeth on the worm wheel is doubled, then its velocity ratio is also doubled. |
| A. | True |
| B. | False |
| C. | Can't say |
| D. | None of these |
| Answer» B. False | |
| 89. |
The centre of gravity of a quadrant of a circle lies along its central radius (r) at a distance of |
| A. | 0.5r |
| B. | 0.6r |
| C. | 0.7r |
| D. | 0.8r |
| Answer» C. 0.7r | |
| 90. |
The overturning of a vehicle on a level circular path can be avoided if the velocity of vehicle is __________ . |
| A. | less than |
| B. | greater than |
| C. | Can't say |
| D. | None of these |
| Answer» B. greater than | |
| 91. |
A block of mass 20 kg lying on a rough horizontal plane is connected by a light string passing over a smooth pulley to another mass 5 kg, which can move freely in the Vertical direction, as shown in the below figure. The tension in the string will __________ with the increase in coefficient of friction. |
| A. | increase |
| B. | decrease |
| C. | not be effected |
| D. | None of the above |
| Answer» B. decrease | |
| 92. |
The centre of gravity of an is osceles triangle with base (p) and sides (q) from its base is |
| A. | [√(4p² - q²)]/6 |
| B. | (4p² - q²)/6 |
| C. | (p² - q²)/4 |
| D. | (p² + q²)/4 |
| Answer» B. (4p² - q²)/6 | |
| 93. |
A body of mass m moving with a constant velocity v strikes another body of same mass m moving with same velocity but in opposite direction. The common velocity of both the bodies after collision is |
| A. | v |
| B. | 2v |
| C. | 4v |
| D. | 8v |
| Answer» C. 4v | |
| 94. |
The moment of inertia of a rectangular section 3cm wide and 4cm deep about X-X axis is |
| A. | 9cm4 |
| B. | 12cm4 |
| C. | 16cm4 |
| D. | 20cm4 |
| Answer» D. 20cm4 | |
| 95. |
If a pendulum is taken 1 km below the earth surface in a mine, it will __________ in time. |
| A. | gain |
| B. | loose |
| C. | Can't say |
| D. | None of these |
| Answer» B. loose | |
| 96. |
The velocity of a particle (v) moving with simple harmonic motion, at any instant is given by(where r = Amplitude of motion, and y = Displacement of the particle from mean position.) |
| A. | ω.√(y² - r²) |
| B. | ω.√(r² - y²) |
| C. | ω².√(y² - r²) |
| D. | ω².√(r² - y²) |
| Answer» C. ω².√(y² - r²) | |
| 97. |
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. | |
| 98. |
The cartesian equation of trajectory is(where u = Velocity of projection, α = Angle of projection, and x, y = Co-ordinates of any point on the trajectory after t seconds.) |
| A. | y = (gx²/2u² cos²α) + x. tanα |
| B. | y = (gx²/2u² cos²α) - x. tanα |
| C. | y = x. tanα - (gx²/2u² cos²α) |
| D. | y = x. tanα + (gx²/2u² cos²α) |
| Answer» D. y = x. tanα + (gx²/2u² cos²α) | |
| 99. |
The force, by which the body is attracted, towards the centre of the earth, is called |
| A. | impulsive force |
| B. | mass |
| C. | weight |
| D. | momentum |
| Answer» D. momentum | |
| 100. |
The moment of inertia of a square of side a about its base is a⁴/ 3. |
| A. | True |
| B. | False |
| C. | Can't say |
| D. | None of these |
| Answer» B. False | |