A sphere of radius 20.0cm and mass 1.80 kg starts from rest and rolls without slippingdown a 30.0º incline that is 10.0 m long. (a) Calculate itstrans

Sinead Mcgee

Sinead Mcgee

Answered question

2020-10-31

A sphere of radius 20.0cm and mass 1.80 kg starts from rest and rolls without slippingdown a 30.0º incline that is 10.0 m long. (a) Calculate itstranslational and rotational speeds when it reaches the bottom. (b)What is the ratio of translational to rotational KE at the bottom?Avoid putting in numbers until the end so you can answer: (c) doyour answers in (a) and (b) depend on the radius of the sphere orits mass?

Answer & Explanation

Elberte

Elberte

Skilled2020-11-01Added 95 answers

Radiusof sphere ( r ) = 20.0 cm
Mass of sphere (m) = 1.80 kg
Inclination (q) = 300
Length of track ( d ) = 10.0m
Since it rolls without slipping
Let a andacm be the angular And about the center ofmass accelarations.
The moment of inertia of solid sphere Icm= (2/5) mr2
Apply, Newtons

Do you have a similar question?

Recalculate according to your conditions!

Ask your question.
Get an expert answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?