Rigid Body Dynamics Test

Result

Rigid Body Dynamics Test - 3

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Weekly Quiz Competition

Question 1
1 / -0

Statement-1 : A wheel moving down a perfectly frictionless inclined plane will undergo slipping (not rolling motion).
Statement-2 : For perfect rolling motion, work down against friction is zero.

A
Both Statement-1 and Statement-2 are true and Statement-2 is not the correct explanation of Statement-1.

B
Statement-1 is true but Statement-2 is false.

C
Statement-1 is false but Statement-2 is true.

D
Both Statement-1 and Statement-2 are true and Statement-2 is the correct explanations of Statement-1.

Solution

Rolling occurs only on account of friction which is tangential force capable of providing torque. When the inclined plane is perfectly smooth, it will simply slip under the effect of its own weight. Once the perfect rolling begins, force of friction becomes zero. Hence work done against friction is zero.
Question 2
1 / -0

Statement-1 : A particle is moving in circular path. The net work done on the particle is zero.
Statement-2 : For a particle undergoing uniform circular motion, net force acting on the particle and velocity of the particle are always perpendicular.

A
Statement-1 is false but Statement-2 is true.

B
Statement-1 is true but Statement-2 is false.

C
Both Statement-1 and Statement-2 are true and Statement-2 is not the correct explanation of Statement-1.

D
Both Statement-1 and Statement-2 are true and Statement-2 is the correct explanations of Statement-1.

Solution

In non-uniform circular motion, particle’s kinetic energy changes with time. By work-energy theorem, net work done on the particle is non-zero. In uniform circular motion, total force on the particle is centripetal in nature.