0.5m Q6) Newton's 2nd Law of Rotation and Angular Momentum 4.8m/s² 2kg A string is wrapped around a heavy wheel of radius R = 0.5 m. A block of mass m = 2 kg hangs from the other end of the string. When let go, the block falls with an acceleration of a = 4.8 m/s². The wheel rotates about its center with angular acceleration a, but otherwise does not move. The string does not slip. a) Draw a free body diagram and write Newton's 2nd law for the block Do not substitute any numbers. b) Draw a free body diagram and write Newton's 2nd law for the wheel. Do not substitute any numbers. c) What is the tension in the string, T? Write your answer to two decimal places d) What is the angular acceleration, a? Write your answer to two decimal places. e) What is the moment of inertia of the heavy wheel? Write your answer to two decimal places. f) The ice caps are found near the North and South poles of the Earth. If the ice caps were to melt, the water would spread out across all the oceans. What would happen? Put an X in the correct answer for each statement. No explanation required. Increase The moment of inertia of the earth would: The angular momentum of the earth would: The angular velocity of the earth would: The length of a day would: Decrease Stay the same
0.5m Q6) Newton's 2nd Law of Rotation and Angular Momentum 4.8m/s² 2kg A string is wrapped around a heavy wheel of radius R = 0.5 m. A block of mass m = 2 kg hangs from the other end of the string. When let go, the block falls with an acceleration of a = 4.8 m/s². The wheel rotates about its center with angular acceleration a, but otherwise does not move. The string does not slip. a) Draw a free body diagram and write Newton's 2nd law for the block Do not substitute any numbers. b) Draw a free body diagram and write Newton's 2nd law for the wheel. Do not substitute any numbers. c) What is the tension in the string, T? Write your answer to two decimal places d) What is the angular acceleration, a? Write your answer to two decimal places. e) What is the moment of inertia of the heavy wheel? Write your answer to two decimal places. f) The ice caps are found near the North and South poles of the Earth. If the ice caps were to melt, the water would spread out across all the oceans. What would happen? Put an X in the correct answer for each statement. No explanation required. Increase The moment of inertia of the earth would: The angular momentum of the earth would: The angular velocity of the earth would: The length of a day would: Decrease Stay the same
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
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Transcribed Image Text:0.5m
Q6) Newton's 2nd Law of Rotation and Angular Momentum
4.8m/s²
2kg
A string is wrapped around a heavy wheel of radius R = 0.5 m. A block of mass m = 2 kg hangs
from the other end of the string. When let go, the block falls with an acceleration of a = 4.8 m/s².
The wheel rotates about its center with angular acceleration a, but otherwise does not move.
The string does not slip.
a) Draw a free body diagram and write Newton's 2nd law for the block Do not substitute any numbers.
b) Draw a free body diagram and write Newton's 2nd law for the wheel. Do not substitute any numbers.
c) What is the tension in the string, T? Write your answer to two decimal places
d) What is the angular acceleration, a? Write your answer to two decimal places.
e) What is the moment of inertia of the heavy wheel? Write your answer to two decimal places.
f) The ice caps are found near the North and South poles of the Earth. If the ice caps were to melt, the
water would spread out across all the oceans. What would happen?
Put an X in the correct answer for each statement. No explanation required.
Increase
The moment of inertia of the earth would:
The angular momentum of the earth would:
The angular velocity of the earth would:
The length of a day would:
Decrease
Stay the same
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