Problem 1 A 3.3-lb block of negligible size is located at r = 2.1 ft from the center of a horizontal circular platform with an outer radius of R= 6.6 ft, as shown in the picture to the right. The platform starts rotating from rest about a vertical axis, and its angular speed increases at a constant rate of 1.7 rad/s?. The coefficient of static friction between the block and the platform is µs = 0.3. a. Draw two clear, complete, and appropriate free boc designated spaces below: a top view and a side vie

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Problem 1
A 3.3-lb block of negligible size is located at
r = 2.1 ft from the center of a horizontal circular
platform with an outer radius of R = 6.6 ft, as
shown in the picture to the right.
R
The platform starts rotating from rest about a
vertical axis, and its angular speed increases at a
constant rate of 1.7 rad/s². The coefficient of
static friction between the block and the
platform is µs = 0.3.
Draw two clear, complete, and appropriate free body diagrams of the situation in the
designated spaces below: a top view and a side view.
а.
b. What is the velocity of the block when it just begins to slip?
c. How much time passes after the platform begins
to rotate before the block just begins to slip?_
Top view FBD
Side view FBD
Transcribed Image Text:Problem 1 A 3.3-lb block of negligible size is located at r = 2.1 ft from the center of a horizontal circular platform with an outer radius of R = 6.6 ft, as shown in the picture to the right. R The platform starts rotating from rest about a vertical axis, and its angular speed increases at a constant rate of 1.7 rad/s². The coefficient of static friction between the block and the platform is µs = 0.3. Draw two clear, complete, and appropriate free body diagrams of the situation in the designated spaces below: a top view and a side view. а. b. What is the velocity of the block when it just begins to slip? c. How much time passes after the platform begins to rotate before the block just begins to slip?_ Top view FBD Side view FBD
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