A 20kg child rides a carousel at a playground The carousel h

A 20-kg child rides a carousel at a playground. The carousel has a radius of 2.2 m, and spins with a constant angular velocity of 5.0 rad/s.

a. What’s the contact force vector applied to the child by the carousel?

b. What’s the normal component of force vector found in a?

c. What’s the magnitude of the friction force component for the force vector found in a?

d. What’s the minimum coefficient of static friction required so the child doesn’t slip?

(THIS A QUESTION FROM DYNAMICS NOT PHYSICS!)

Solution

(A) contact force vector on child, F = F_r j + F_n j

F_r = m w^2 r = 20 x 5^2 x 2.2 = 1100 N

F_n = mg = 20 x 9.8 = 196 N

F = 1100i + 196j N

(B) F_N = 196 N

(C) f = F_r = 1100 N

(D) f = us N

1100 = us (196)

us = 5.61