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.
| 151. |
The centre of gravity of a semi-circle lies at a distance of __________ from its base measured along the vertical radius. |
| A. | 3r/ 8 |
| B. | 4r/ 3π |
| C. | 8r/3 |
| D. | 3r/4π |
| Answer» C. 8r/3 | |
| 152. |
Coefficient of friction is the ratio of the limiting friction to the normal reaction between the two bodies. |
| A. | Yes |
| B. | No |
| C. | Can't say |
| D. | None of these |
| Answer» B. No | |
| 153. |
The force induced in the string BC due to the load W as shown in the below figure is |
| A. | W sin θ |
| B. | W cos θ |
| C. | W tan θ |
| D. | W cot θ |
| Answer» E. | |
| 154. |
Two blocks A and B of masses 150 kg and 50 kg respectively are connected by means of a string as shown in the below figure. The tension in all the three strings __________ be same. |
| A. | will |
| B. | will not |
| C. | can't say |
| D. | none of these |
| Answer» B. will not | |
| 155. |
A non-reversible machine is also called a self-locking machine. |
| A. | Agree |
| B. | Disagree |
| C. | Can't say |
| D. | None of these |
| Answer» B. Disagree | |
| 156. |
The unit of mass moment of inertia in S.I. units is kg-m². |
| A. | True |
| B. | False |
| C. | Can't say |
| D. | None of these |
| Answer» B. False | |
| 157. |
If u1 and u2 are the velocities of two moving bodies in the same direction before impact and v1 and v2 are their velocities after impact, then coefficient of restitution is given by |
| A. | v1-v2/u1-u2 |
| B. | v2-v1/u1-u2 |
| C. | u1-u2/v1-v2 |
| D. | u2+u1/v2+v1 |
| Answer» C. u1-u2/v1-v2 | |
| 158. |
The loss of kinetic energy due to direct impact of two bodies __________ upon the value of coefficient of restitution. |
| A. | depends |
| B. | does not depend |
| C. | Can't say |
| D. | None of these |
| Answer» B. does not depend | |
| 159. |
The centre of gravity a T-section 100 mm x 150 mm x 50 mm from its bottom is |
| A. | 50mm |
| B. | 75mm |
| C. | 87.5mm |
| D. | 125mm |
| Answer» D. 125mm | |
| 160. |
The moment of the force P about O as shown in the below figure is |
| A. | P x OA |
| B. | P x OB |
| C. | P x OC |
| D. | P x AC |
| Answer» D. P x AC | |
| 161. |
The loss of kinetic energy during elastic impact is zero. |
| A. | Agree |
| B. | Disagree |
| C. | Can't say |
| D. | None of these |
| Answer» B. Disagree | |
| 162. |
Vectors method for the resultant force is also called polygon law of forces. |
| A. | Correct |
| B. | Incorrect |
| C. | Can't say |
| D. | None of these |
| Answer» B. Incorrect | |
| 163. |
A machine which is capable of doing work in the reversed direction, after the effort is removed, is called a non-reversible machine. |
| A. | Yes |
| B. | No |
| C. | Can't say |
| D. | None of these |
| Answer» C. Can't say | |
| 164. |
All the steel trusses of the bridges, have one of their end roller supported, and other end hinged. The main advantage of such a support is that the truss remains stable. |
| A. | True |
| B. | False |
| C. | Can't say |
| D. | None of these |
| Answer» B. False | |
| 165. |
When a body of mass m attains a velocity v from rest in time t, then the kinetic energy of translation is |
| A. | mv2 |
| B. | mgv2 |
| C. | 0.5 mv2 |
| D. | 0.5 mgv2 |
| Answer» D. 0.5 mgv2 | |
| 166. |
The coefficient of restitution for elastic bodies is one. |
| A. | Correct |
| B. | Incorrect |
| C. | Can't say |
| D. | None of these |
| Answer» C. Can't say | |
| 167. |
Two equal and opposite parallel forces whose lines of action are different, can be replaced by a single force parallel to the given forces. |
| A. | Correct |
| B. | Incorrect |
| C. | Can't say |
| D. | None of these |
| Answer» C. Can't say | |
| 168. |
If a number of coplaner forces acting at a point be in equilibrium, the sum of clockwise moments must be __________ the sum of anticlockwise moments, about any point. |
| A. | equal to |
| B. | less than |
| C. | greater than |
| D. | None of these |
| Answer» B. less than | |
| 169. |
The unit of power in S.I. units is |
| A. | horsepower |
| B. | joule |
| C. | watt |
| D. | kg-m |
| Answer» D. kg-m | |
| 170. |
Mass moment of inertia of a uni form thin rod of mass M and length (l) about its mid-point and perpendicular to its length is |
| A. | (2/3) Ml² |
| B. | (1/3) Ml² |
| C. | (3/4) Ml² |
| D. | (1/12) Ml² |
| Answer» E. | |
| 171. |
The angle between two forces when the resultant is maximum and minimum respectively areThe path of the projectile is a parabola. |
| A. | 0° and 180°True |
| B. | 180° and 0°False |
| C. | 90° and 180°Can't say |
| D. | 90° and 0°None of these |
| Answer» B. 180° and 0°False | |
| 172. |
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 | |
| 173. |
Three forces acting on a rigid body are represented in magnitude, direction and line of action by the three sides of a triangle taken in order. The forces are equivalent to a couple whose moment is equal to |
| A. | Area of the triangle |
| B. | Twice the area of the triangle |
| C. | Half the area of the triangle |
| D. | None of these |
| Answer» C. Half the area of the triangle | |
| 174. |
In the shown figure, if the angle of inclination of the plane is increased, then acceleration of the system will |
| A. | Increase |
| B. | Decrease |
| C. | Remain the same |
| D. | None of these |
| Answer» C. Remain the same | |
| 175. |
The algebraic sum of the resolved parts of a number of forces in a given direction is equal to the resolved part of their resultant in the same direction. This is known as |
| A. | Principle of independence of forces |
| B. | Principle of resolution of forces |
| C. | Principle of transmissibility of forces |
| D. | None of these |
| Answer» C. Principle of transmissibility of forces | |
| 176. |
If two bodies having masses m1 and m2 (m1>m2) have equal kinetic energies, the momentum of body having mass m1 is _________ the momentum of body having mass m2. |
| A. | Equal to |
| B. | Less than |
| C. | Greater than |
| D. | None of these |
| Answer» D. None of these | |
| 177. |
When a body of mass 'm' attains a velocity 'v' from rest in time 't', then the kinetic energy of translation is |
| A. | mv2 |
| B. | mgv2 |
| C. | 0.5 mv2 |
| D. | 0.5 mgv2 |
| Answer» D. 0.5 mgv2 | |
| 178. |
Which of the following are vector quantities? |
| A. | Linear displacement |
| B. | Linear velocity |
| C. | Linear acceleration |
| D. | All of these |
| Answer» E. | |
| 179. |
Which of the following is the example of lever of first order? |
| A. | Arm of man |
| B. | Pair of scissors |
| C. | Pair of clinical tongs |
| D. | All of the above |
| Answer» E. | |
| 180. |
Two bodies of masses m₁ and m₂ are hung from the ends of a rope, passing over a frictionless pulley as shown in the figure below. The acceleration of the string will be Engineering Mechanics |
| A. | g (m₁ - m₂)/(m₁ + m₂) |
| B. | 2g (m₁ - m₂)/(m₁ + m₂) |
| C. | g (m₁ + m₂)/(m₁ - m₂) |
| D. | 2g (m₁ + m₂)/(m₁ - m₂) |
| Answer» B. 2g (m₁ - m₂)/(m₁ + m₂) | |
| 181. |
The moment of inertia of a solid sphere of mass ‘m’ and radius ‘r’ is |
| A. | 2mr²/3 |
| B. | 2mr²/5 |
| C. | mr² |
| D. | mr²/2 |
| Answer» C. mr² | |
| 182. |
A heavy string attached at two ends at same horizontal level and when central dip is very small approaches the following curve |
| A. | Circular arc |
| B. | Parabola |
| C. | Hyperbola |
| D. | Elliptical |
| Answer» C. Hyperbola | |
| 183. |
The maximum frictional force which comes into play when a body just begins to slide over another surface is called |
| A. | Limiting friction |
| B. | Sliding friction |
| C. | Rolling friction |
| D. | Kinematic friction |
| Answer» B. Sliding friction | |
| 184. |
The acceleration of a body sliding down an inclined surface is |
| A. | g sinθ |
| B. | g cosθ |
| C. | g tanθ |
| D. | None of these |
| Answer» B. g cosθ | |
| 185. |
The friction experienced by a body, when in motion, is known as |
| A. | Rolling friction |
| B. | Dynamic friction |
| C. | Limiting friction |
| D. | Static friction |
| Answer» C. Limiting friction | |
| 186. |
Work done is said to be zero, when |
| A. | Some force acts on a body, but displacement is zero |
| B. | No force acts on a body but some displacement takes place |
| C. | Either (A) or (B) |
| D. | None of the above |
| Answer» D. None of the above | |
| 187. |
The resultant of two forces P and Q (such that P > Q) acting along the same straight line, but in opposite direction, is given by |
| A. | P + Q |
| B. | P - Q |
| C. | P / Q |
| D. | Q / P |
| Answer» C. P / Q | |
| 188. |
The maximum frictional force, which comes into play, when a body just begins to slide over the surface of the other body, is known as |
| A. | Static friction |
| B. | Dynamic friction |
| C. | Limiting friction |
| D. | Coefficient of friction |
| Answer» D. Coefficient of friction | |
| 189. |
The maximum efficiency of a lifting machine is |
| A. | 1/m |
| B. | V.R./m |
| C. | m/V.R. |
| D. | 1/(m × V.R.) |
| Answer» E. | |
| 190. |
The center of gravity of a triangle lies at the point of |
| A. | Concurrence of the medians |
| B. | Intersection of its altitudes |
| C. | Intersection of bisector of angles |
| D. | Intersection of diagonals |
| Answer» B. Intersection of its altitudes | |
| 191. |
The moment of inertia of a thin rod of mass 'm' and length 'l', about an axis through its centre of gravity and perpendicular to its length is |
| A. | ml2/4 |
| B. | ml2/ 6 |
| C. | ml2/8 |
| D. | ml2/12 |
| Answer» E. | |
| 192. |
The forces which meet at one point, but their lines of action __________ on the same plane, are Known as non-coplanar concurrent forces. |
| A. | Lie |
| B. | Do not lie |
| C. | Either A or B |
| D. | None of these |
| Answer» C. Either A or B | |
| 193. |
The bodies which rebound after impact are called |
| A. | Inelastic bodies |
| B. | Elastic bodies |
| C. | Neither elastic nor inelastic bodies |
| D. | None of these |
| Answer» C. Neither elastic nor inelastic bodies | |
| 194. |
The amplitude is always __________ radius of the circle. |
| A. | Equal to |
| B. | Less than |
| C. | Greater than |
| D. | None of these |
| Answer» B. Less than | |
| 195. |
Tension in the cable supporting a lift is more when the lift is moving __________ with an acceleration. |
| A. | Upwards |
| B. | Downwards |
| C. | Horizontal |
| D. | None of these |
| Answer» B. Downwards | |
| 196. |
In ideal machines, mechanical advantage is __________ velocity ratio. |
| A. | Equal to |
| B. | Less than |
| C. | Greater than |
| D. | None of these |
| Answer» B. Less than | |
| 197. |
The law of motion involved in the recoil of gun is |
| A. | Newton's first law of motion |
| B. | Newton's second law of motion |
| C. | Newton's third law of motion |
| D. | None of these |
| Answer» D. None of these | |
| 198. |
A body of weight 'W' is required to move up on rough inclined plane whose angle of inclination with the horizontal is 'α'. The effort applied parallel to the plane is given by (where μ = tanφ = Coefficient of friction between the plane and the body.) |
| A. | P = W tanα |
| B. | P = W tan (α + φ) |
| C. | P = W (sinα + μcosα) |
| D. | P = W (cosα + μsinα) |
| Answer» D. P = W (cosα + μsinα) | |
| 199. |
If a number of coplanar forces acting at a point be in equilibrium, the sum of clockwise moments must be __________ the sum of anticlockwise moments, about any point. |
| A. | Equal to |
| B. | Less than |
| C. | Greater than |
| D. | None of these |
| Answer» B. Less than | |
| 200. |
The below figure shows the three coplanar forces P, Q and R acting at a point O. If these forces are in equilibrium, then |
| A. | P/sin β = Q/sin α = R/sin ɣ |
| B. | P/sin α = Q/sin β = R/sin ɣ |
| C. | P/sin ɣ = Q/sin α = R/sin β |
| D. | P/sin α = Q/sin ɣ = R/sin β |
| Answer» C. P/sin ɣ = Q/sin α = R/sin β | |