Answer:
Explanation:
Given
mass of cylinder is M
radius R
velocity of center of mass is v
As there is no slipping therefore cylinder will rotate as well as translate
Moment of inertia of cylinder 
Kinetic Energy of cylinder 
Rotational energy 
for rolling

where 

Total kinetic Energy 
Answer:
Explanation:
Given
diameter 
density 
frequency 
Length of silk strand 
Velocity in the string is as follows

The expression for Fundamental Frequency




Squaring




Her magnitude of deceleration on the ice would be 15.126m/s
Answer:
L = L0 (1 + c T) where c is the coefficient and T the change in temperature
L = 50 ( 1 + 2.05E-6 * 50) = 50.0051 cm