Block A is connected to a fixed pin O with a string 100 mm long. The block and the channel are at rest when a motor on a shaft through O starts to rotate the channel with angular velocity ω = sin(0.2t) rad/s and the string starts to pull the block towards O with speed v = sin(0.2t) mm/s. 1. At the time instant t = 2.5π s, determine: a)  the components of the velocity and acceleration of the ball in polar coordinates b)  the speed of the ball c)  the components of the velocity and acceleration of the ball in normal coordinates d)  sketch the polar and normal components of the velocity and acceleration of the ball on the figure.

Refrigeration and Air Conditioning Technology (MindTap Course List)
8th Edition
ISBN:9781305578296
Author:John Tomczyk, Eugene Silberstein, Bill Whitman, Bill Johnson
Publisher:John Tomczyk, Eugene Silberstein, Bill Whitman, Bill Johnson
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Block A is connected to a fixed pin O with a string 100 mm long. The block and the channel are at rest when a motor on a shaft through O starts to rotate the channel with angular velocity ω = sin(0.2t) rad/s and the string starts to pull the block towards O with speed v = sin(0.2t) mm/s.

1. At the time instant t = 2.5π s, determine:

a)  the components of the velocity and acceleration of the ball in polar coordinates
b)  the speed of the ball
c)  the components of the velocity and acceleration of the ball in normal coordinates
d)  sketch the polar and normal components of the velocity and acceleration of the ball on the figure.

 

y
A
100 mm
Transcribed Image Text:y A 100 mm
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