Question

On an inclined ramp at 34° with the horizontal, a spherical shell of radius 0.20 m and mass 1.5 kg rolls without slipping. When it reaches the end of the ramp with an angular speed of 28.8 rad/s, what is the value of l?

Answer 1

To find the value of l when a spherical shell rolls without slipping down an inclined ramp, we can use the equations of rotational motion and relate the angular speed to the vertical height.

Step-by-step explanation:

The question asks for the value of l when a spherical shell rolls without slipping down an inclined ramp at an angle of 34 degrees with the horizontal. To find the value of l, we need to use the equations of rotational motion. The angular speed of the spherical shell can be related to the linear speed using the relation v = rω, where v is the linear speed, r is the radius of the shell, and ω is the angular speed. The linear speed can be further related to the vertical height h reached by the shell using the equation v^2 = 2gh, where g is the acceleration due to gravity. Solving these equations, we can find the value of l.