MCQs

Classical Mechanics Questions with solutions MCQs

1. Choose the incorrect statement :

A

If total linear momentum of a system of particles is zero, the angular momentum of the system is the same around all origins

B

Even if total linear momentum of a system of particles is not zero, the angular momentum of the system is same around all origins

C

If the total force on a system of particles is zero, the torque on the system is the same around all origins

D

When a rigid body rotates around an axis, every particle in the body remains at a fixed distance from the axis

Classical Mechanics KU Physics 2021
Correct Answer : B
Explanation :

B

Correct Answered :

Wrong Answered :

2. If F is the time-dependent force F = A – Bt, where A and B are positive constants, the velocity v(t) in terms of A, B, m (mass), v0 (initial velocity) and x0 (initial position) is given by :

A

v(t) = v0 + At /m – B t2 /2m

B

v(t) = v0 + At2 /m – B t/2m

C

v(t) = v0 + B t2 /2m

D

v(t) = v0 – B t2 /2m

Classical Mechanics KU Physics 2021
Correct Answer : A
Explanation :

A

Correct Answered :

Wrong Answered :

3. How far approximately will a small boat move, when a man with mass 64 kg moves from back to front of the boat ? Given that length of boat is 2.7 m, its mass is 92 kg. (Water resistance and tilt of the boat is negligible)

A

1.03 m

B

1.40 m

C

2.74 m

D

1.10 m

Classical Mechanics KU Physics 2021
Correct Answer : D
Explanation :

center of mass will remain at same point 

Correct Answered :

Wrong Answered :

4. A particle moves in a circular orbit with the potential energy U(r) = –A/r^n , where A > 0. For what values of ‘n’ are the circular orbits stable :

A

n > 2

B

n <= 2

C

Only for n = 2

D

Only for n = 1

Classical Mechanics KU Physics 2021
Correct Answer : B
Explanation :

B

Correct Answered :

Wrong Answered :

5.

A particle of mass ‘m’ is located in the y-z plane at x = 0, y = 3, z =3. Its moment and products of inertia relative to the origin written in the form of an Inertia matrix are :



A

A

B

B

C

C

D

D

Classical Mechanics KU Physics 2021
Correct Answer : A
Explanation :

A

Correct Answered :

Wrong Answered :

6. A marble of mass 0.1 kg and radius 0.25 m is rolled up a plane of angle 30 degree . If the initial velocity of the marble is 2 m/s, the distance ‘d’ it travels up the plane before it begins to roll back down is equal to :

A

4 m

B

4/5 m

C

4/7 m

D

4/9 m

Classical Mechanics KU Physics 2021
Correct Answer : C
Explanation :

C

Correct Answered :

Wrong Answered :

7. A thin sheet of mass M is in the shape of an equilateral triangle with side L. The moment of inertia around an axis through a vertex, perpendicular to the sheet is :

A

5/7 ML^2

B

5/12 ML^2

C

5/9 ML^2

D

1/2 ML^2

Classical Mechanics KU Physics 2021
Correct Answer : B
Explanation :

B

Correct Answered :

Wrong Answered :

8.
If a force F is derivable from a potential function V(r),
where r is the distance from the origin of the coordinate
system, it follows that :

A

∇ × F = 0

B

∇· F = 0

C

∇V=0

D

∇^2 V=0

Classical Mechanics KU Physics 2021
Correct Answer : A
Explanation :

A

Correct Answered :

Wrong Answered :

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