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प्रश्न
The speed of a solid sphere after rolling down from rest without sliding on an inclined plane of vertical height h is, ______
विकल्प
`sqrt(4/3 gh)`
`sqrt(10/7 gh)`
`sqrt(2 gh)`
`sqrt(1/2gh)`
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उत्तर
The speed of a solid sphere after rolling down from rest without sliding on an inclined plane of vertical height h is, `underline(sqrt(10/7 gh))`.
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संबंधित प्रश्न
Prove the result that the velocity v of translation of a rolling body (like a ring, disc, cylinder or sphere) at the bottom of an inclined plane of a height h is given by `v^2 = (2gh)/((1+k^2"/"R^2))`.
Using dynamical consideration (i.e. by consideration of forces and torques). Note k is the radius of gyration of the body about its symmetry axis, and R is the radius of the body. The body starts from rest at the top of the plane.
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.
A solid sphere of mass 1 kg rolls on a table with linear speed 2 m/s, find its total kinetic energy.
A hollow sphere and a solid sphere having same mss and same radii are rolled down a rough inclined plane.
A cylinder rolls on a horizontal place surface. If the speed of the centre is 25 m/s, what is the speed of the highest point?
A solid sphere of mass 0⋅50 kg is kept on a horizontal surface. The coefficient of static friction between the surfaces in contact is 2/7. What maximum force can be applied at the highest point in the horizontal direction so that the sphere does not slip on the surface?
The angular velocity of minute hand of a clock in degree per second is ______.
A circular disc reaches from top to bottom of an inclined plane of length 'L'. When it slips down the plane, it takes time ' t1'. when it rolls down the plane, it takes time t2. The value of `t_2/t_1` is `sqrt(3/x)`. The value of x will be ______.
The kinetic energy and angular momentum of a body rotating with constant angular velocity are E and L. What does `(2E)/L` represent?
When a sphere rolls without slipping, the ratio of its kinetic energy of translation to its total kinetic energy is ______.
