Mechanics> A uniform solid sphere rolls on a horizon...

A uniform solid sphere rolls on a horizontal surface at 20 ms–1. It then rolls up an incline having an angle of inclination at 30º with the horizontal If the friction losses are negligible, the value of height h above the ground where the ball stops is :

Piyush Peeyush , 9 Years ago

Grade 12th pass

1 Answers

Shaswata Biswas

Let the mass of the sphere be m. Velocity, v = 20 m/s.

Let its radius, momen of inertia and angular velocity be r, I and $\omega$ respectively.

Since the sphere is rolling

Its KE_T_otal= KE_Tranlasional+ KE_Rotational

₌

Again, let it reaches a maximum height of h above the ground.

Then, KE_bottom= PE_top

=> $\frac{7}{10}mv^{2} = mgh$

=> $h = \frac{7v^{2}}{10g}$

This is the maximum height reached.

THANKS

Last Activity: 9 Years ago

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Mechanics> A uniform solid sphere rolls on a horizon...

A uniform solid sphere rolls on a horizontal surface at 20 ms–1. It then rolls up an incline having an angle of inclination at 30º with the horizontal If the friction losses are negligible, the value of height h above the ground where the ball stops is :

Piyush Peeyush , 9 Years ago

Shaswata Biswas

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