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प्रश्न
The following figure shows a smooth inclined plane fixed in a car accelerating on a horizontal road. The angle of incline θ is related to the acceleration a of the car as a = g tanθ. If the sphere is set in pure rolling on the incline, _____________.
विकल्प
it will continue pure rolling
it will slip down the plane
its linear velocity will increase
its linear velocity will slowly decrease
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उत्तर
it will continue pure rolling
From the free body diagram of sphere, we have
Net force on the sphere along the incline,
Fnet = mgsinθ − macosθ ...(i)
On putting a = gtanθ in equation (i), we get
Fnet = 0
Therefore, if the sphere is set in pure rolling on the incline, it will continue pure rolling.
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संबंधित प्रश्न
Derive an expression for kinetic energy, when a rigid body is rolling on a horizontal surface without slipping. Hence find kinetic energy for a solid sphere.
Read each statement below carefully, and state, with reasons, if it is true or false;
For perfect rolling motion, work done against friction is zero.
Read each statement below carefully, and state, with reasons, if it is true or false;
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(a) on the rear wheels is in the forward direction
(b) on the front wheels is in the backward direction
(c) on the rear wheels has larger magnitude than the friction on the front wheels
(d) on the car is in the backward direction.
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Discuss rolling on an inclined plane and arrive at the expression for acceleration.
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