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https//session.masteringphysics.com/myct/itemView?offset-next&assignmentProblemID-61579333; previous | 2 of 10 I n Problem 13.22 Part A A ball rolls on a circular track of radius 0.60 m with a constant angular speed of 1.4 rad/s in the counterclockwise direction If the angular position of the ball at t Ots 0. fir d the zcomponent of the ball's poston at the time 2 5s Let 0- 0 correspond to the positive z direction Express your answer using two significant figures. Submit Incorrect; Try Again; 2 attempts remaining Part B Find the z component of the ball's position at the time 49s Express your answer using two significant figures.

Explanation / Answer

(a)
= 1.4 rad/s
Circumference = (2*)
In 2.5 s distance covered, = *t
= 1.4*2.5 = 3.5 rad

2* = 360
1 = 360/(2*)
3.5 rad =  360/(2*) * 3.5 = 200.5 degree

Poisiton on the circle,
x = - 0.6 * cos(200.5 - 280)
x = - 0.56 m
(-ve sign means in the negative x direction i.e towards west)

(b)
In 4.9 s distance covered, = *t
= 4.9*1.4 = 6.86 rad
6.86 rad = 393 degree

x = 0.6 * cos( 393 - 360)
x = 0.50 m

(c)
In 7.4 s distance covered, = *t
= 7.4*1.4 = 10.36 rad

10.36 rad = 593.6 degree

x = - 0.6 * cos(593.6 - 540)
x = - 0.36 m

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