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This set of Applied Mechanics Multiple Choice Questions & Answers (MCQs) focuses on Applied Mechanics Set 4
Q1 | A body is vibrating with simple harmonic motion of aplitude 5 cm frequency 10 vibrations per second. The maximum value of velocity in cm/s will be
- 3.14 cm/s
- 314 cm/s
- 3140 cm/s
- 31.4 cm/s
- 31400 cm/s
Q2 | The statement that the sum of the kinetic and potential energies of a particle in the earth's gravitational field is constant is known as
- Principle of conservation of mechanical energy
- Law of gravitation
- Newton's law
- Principle of conservation of momentum
- Law of nature
Q3 | Which of the following is an example of a projectile?
- Launching of a satellite
- Taking off of an aircraft
- Lifting of a balloon
- Throwing of a cricket ball by a player
- None of the above
Q4 | A grinding wheel is rotating at 3000 rpm. When the switch is turned off the wheel stops in 10 seconds. The uniform deceleration of the wheel was
- 1 rad/s2
- 31.4 rad/s2
- 4 rad/s2
- 62.8 rad/s2
- 10.4 rad/s2
Q5 | The time required to stop a car moving with a velocity 20 m/sec within a distance of 40 m is equal to
- 8 sec
- 2 sec
- 4 sec
- 10 sec
- 6 sec
Q6 | If span is 150 mts and sag is 10 ft of a cable carrying a load of 3200 kg per horizontal metre then tension of ends is
- 104,000 kg
- 107 dynes
- 1200,000 kg
- 932,000 kg
- 584,000 kg
Q7 | A cube of wood supporting 200 gm mass just floats in water. When the mass is removed, the cube rises by 2 cm the side of the cube will be
- 5 cm
- 10 cm
- 12.5 cm
- 20 cm
- 15 cm
Q8 | The principle of conservation of energy cannot be applied in case of
- Flow of water in a pipe
- A particle moving in gravitational field
- Frictional movement of a particle over a surface
- Frictionless movement of a principle over a surface
- Simple pendulum
Q9 | A ball weighing 250 gm is thrown vertically upwards with a velocity of 980 cm/sec. The time that the ball will take to return back to earth would be
- 1 sec
- 4 sec
- 2 sec
- 5 sec
- 3 sec
Q10 | In above problem the resultant reaction between the cannon and the ground would be
- 1146 tonnes
- 573 tonnes
- 286.5 tonnes
- 50 tonnes
- 145 tonnes
Q11 | ML2T-2 could be the dimension of all of the following EXCEPT
- Energy
- Work
- 107 dynes
- Power
- Torque
Q12 | Femtometre x Nanometer x (Gigametre)2 =
- Micrometre
- Metre
- Picometre
- 107 dynes
- Megametre
Q13 | When horizontal range of a projectile equal to the distance through which projectile will rise, then the angle of projection of the particle will be equal to
- 36?
- 24?
- 48?
- 107 dynes
- 76?
Q14 | The excape velocity on the surface of the earth is
- 11.2 km/s
- 2.2 km/s
- 5.6 km/s
- 4.4 km/s
- 1 km/s
Q15 | The centre of percussions is
- The point of application of the resultant of all the forces tending to cause a body to rotate about a central axis
- The point of application of the resultant of gravity and buoyancy forces of the body
- The same as centre of gravity
- The metacentre of the body
- The point in a body about which it can rotate horizontally and oscillates under the influence of gravity
Q16 | Plastic collosion of two bodies of equal mass results in a common velocity after impact which is
- Sum of their initial velocities
- Difference of their initial velocities
- Average of their initial velocities
- Independent of their initial velocities
- None of the above
Q17 | In which case power required would be more
- In lifting up a weight of 100 kg at a velocity of 3 m/sec but accelerating upwards at 0.5 m/sec
- In lowering a weight of 100 kg along an a inclined plane at an angle of 45? with
- In lifting up a weight of 100 kg at a constant speed of 3 m/sec
- In lowering the weight at a constant speed of 3 m/sec
- In lowering the weight at a velocity of 3 m/sec and acceleration of 1 m/sec2
Q18 | In case forces of 1 N, 2 N, 3 N, 4 N, 5 N and 6 N act in order along the sides of a regular hexagon, the resultant will be
- 21 N
- 107 dynes
- 2 N
- 6 N
Q19 | A boy and his dad put a rope around a tree and stand side by side. What force by the boy can resist a force of 800 N by the dad?
- 231
- 246
- 192
- 107 dynes
- 166
Q20 | The necessary condition of equilibrium of a body is
- The algebraic sum of horizontal components of all forces must be zero
- The algebraic sum of vertical components of all forces must be zero
- The algebraic sum of forces about a point must be zero
- All the above
- None of the above
Q21 | The displacement of a particle under going rectilinear motion along the x-axis is given by x = 2t3 + 21t2 + 60t + 6 metres.
- 27 m/s2
- 18 m/s2
- 36 m/s2
- 9 m/s2
- 107 dynes
Q22 | A couple consists of a force P acting at a point A whose coordinates are (-1,2,4) m and force - F acting at a point whose coordinates are (2,3, -2)m. If F = 3i + 2j - 4k in kg units the moment of the couple in kg - m units would be
- 8i - 6j - 3k
- 12i - 3j + k
- 16i - 12j - 6k
- 4i - 3j + k
- 8i + 5j + 3k
Q23 | A block slides down a smooth inclined plane when released from the top while another falls freely from the same point. The value of which parameter in the two cases will be identical?
- Time taken to reach the ground
- Kinetic energy at the ground
- Momentum at the ground
- Velocity while touching the ground
- Kinetic energy after one second
Q24 | The sag in a tape 100 ft long held between two supports 99.8 ft aprat at the same level is
- 3.32 ft
- 0.98 ft
- 2.73 ft
- 1.87 ft
- 107 dynes
Q25 | A piece of wetted wood just floats in water. When placed in an oil of specific gravity 0.75, it will
- Float with upside down
- Sink
- Float for sometime and then sink
- Float with 3/4 of volume above the liquid surface
- Float with 1/4 of volume above the liquid level