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Centre of Mass MCQ. We covered all the Centre of Mass MCQ in this post for free so that you can practice well for the exam.
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MCQ on Centre of Mass for Students
Quick Quiz
Which of the following correctly describes angular momentum?
(a) It is directly related to the moment of inertia
(b) It is a scalar quantity
(c) Both (a) and (b)
(d) None of these
Option a – It is directly related to the moment of inertia
A disc moves with linear speed on a rough horizontal surface. In this case, its angular momentum is
(a) conserved about the center of mass only
(b) conserved about the point where it contacts the surface
(c) conserved about all reference points
(d) not conserved at any reference point
Option b – conserved about the point where it contacts the surface
When an object is launched at an angle to the horizontal, its angular momentum about the starting point will
(a) decrease
(b) increase
(c) stay unchanged
(d) first increase, then decrease
Option b – increase
When a gymnast rotates with extended arms and legs, pulling them inward causes
(a) a reduction in angular speed
(b) a decrease in moment of inertia
(c) angular speed to remain constant
(d) an increase in angular momentum
Option b – a decrease in moment of inertia
The correct classification of angular momentum is
(a) a polar vector
(b) an axial vector
(c) a scalar quantity
(d) None of these
Option b – an axial vector
A person standing on a spinning platform is holding weights in outstretched arms. After releasing the weights without moving his arms, his spinning speed will
(a) increase
(b) decrease
(c) drop to zero
(d) stay the same
Option a – increase
In rotational motion, the linear speed of the different particles of the rotating body is
(a) identical
(b) not the same
(c) zero
(d) not determinable
Option b – not the same
The rotational equivalent of force in linear motion is
(a) weight
(b) angular momentum
(c) moment of inertia
(d) torque
Option d – torque
When a boy suddenly sits on a spinning table, what is conserved in the boy-table system?
(a) Angular speed
(b) Angular momentum
(c) Linear momentum
(d) Angular acceleration
Option b – Angular momentum
According to the law of conservation of angular momentum, if a rotating object’s moment of inertia decreases, its rotational speed will
(a) reduce
(b) increase
(c) stay the same
(d) become zero
Option b – increase
When a cylinder filled with water spins at a constant angular speed around its axis, the water’s surface forms a
(a) parabolic shape
(b) elliptical shape
(c) circular shape
(d) spherical shape
Option a – parabolic shape
If the sum of all external forces acting on a system is zero, the velocity of its center of mass will be
(a) zero
(b) constant
(c) either (a) or (b)
(d) none of these
Option c – either (a) or (b)
When a stick is thrown and lands at a distance, the center of mass of the stick will follow a parabolic path
(a) in every situation
(b) only if the stick has uniform mass distribution
(c) only when there is linear motion without rotation
(d) only if the center of mass is physically located on the stick
Option a – in every situation
When a ball tied to a string is swung in a vertical circle, which of the following remains unchanged?
(a) The tension in the string
(b) The ball’s speed
(c) The centripetal force
(d) The gravitational force acting on the ball
Option d – The gravitational force acting on the ball
Statement 1: A chair tipped backward eventually falls after reaching a certain angle.
Statement 2: A system becomes unstable when its center of mass shifts outside its base.
(a) Statement 1 is incorrect, but Statement 2 is correct
(b) Both statements are correct, and Statement 2 explains Statement 1
(c) Both statements are correct, but Statement 2 does not explain Statement 1
(d) Statement 1 is correct, but Statement 2 is incorrect
Option d – Statement 1 is correct, but Statement 2 is incorrect
The center of mass of the Earth-Moon system is located
(a) closer to the Earth
(b) closer to the Moon
(c) midway between Earth and Moon
(d) unpredictable
Option a – closer to the Earth
When a projectile explodes in midair, the center of mass of all fragments will continue moving
(a) vertically
(b) in any random direction
(c) horizontally
(d) along the original parabolic trajectory
Option d – along the original parabolic trajectory
Two objects with masses m₁ and m₂ (where m₁ is larger) attract each other following the inverse-square law. When released from rest, the center of mass of the system will
(a) move towards m₁
(b) move towards m₂
(c) stay stationary
(d) none of these
Option c – stay stationary
When is angular velocity most relevant?
(a) When an object is rotating
(b) When the object moves in a straight path
(c) When the object accelerates in a straight line
(d) None of these
Option a – When an object is rotating
The center of mass of a rigid body can be located
(a) inside the body
(b) outside the body
(c) neither inside nor outside
(d) either inside or outside the body
Option d – either inside or outside the body
The movement of a system’s center of mass depends on
(a) the total external forces acting on it
(b) the total internal forces acting within it
(c) both internal and external forces
(d) none of these
Option a – the total external forces acting on it
The sum of the moments of all particles in a system about the center of mass is always
(a) maximum
(b) minimum
(c) infinite
(d) zero
Option d – zero
For a two-particle system, the center of mass always lies
(a) on the line connecting the two particles
(b) on a line perpendicular to the one connecting the particles
(c) at any angle to the line between the particles
(d) none of these
Option a – on the line connecting the two particles
A system is made up of three equal-mass particles positioned at (1,1), (2,2), and (3,3). The coordinates of the system’s center of mass are
(a) (1,1)
(b) (2,2)
(c) (3,3)
(d) (6,6)
Option b – (2,2)
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