2) A cat with a mass of {04} kg is at rest on a roof at an angle of 34° from horizontal. The coefficient of static friction between cat paws and roof tiles is 0.70, and gravity is 10 N/kg today. a) Draw a Force Body Diagram of the cat, labelling and calculating all forces. b) Draw a 2nd FBD of the cat if the angle of the roof was 74° from horizontal (steeper). Will the cat be able to stay on the roof at this angle? Justify with calculations why or why not? c) If the coefficient of kinetic friction between cat and roof were zero, what would be the cat’s acceleration on the 74° roof?
2) A cat with a mass of {04} kg is at rest on a roof at an angle of 34° from horizontal. The coefficient of static friction between cat paws and roof tiles is 0.70, and gravity is 10 N/kg today. a) Draw a Force Body Diagram of the cat, labelling and calculating all forces. b) Draw a 2nd FBD of the cat if the angle of the roof was 74° from horizontal (steeper). Will the cat be able to stay on the roof at this angle? Justify with calculations why or why not? c) If the coefficient of kinetic friction between cat and roof were zero, what would be the cat’s acceleration on the 74° roof?
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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2) A cat with a mass of {04} kg is at rest on a roof at an angle of 34° from horizontal. The coefficient of static friction between cat paws and roof tiles is 0.70, and gravity is 10 N/kg today.
- a) Draw a Force Body Diagram of the cat, labelling and calculating all forces.
- b) Draw a 2nd FBD of the cat if the angle of the roof was 74° from horizontal (steeper). Will the cat be able to stay on the roof at this angle? Justify with calculations why or why not?
- c) If the coefficient of kinetic friction between cat and roof were zero, what would be the cat’s acceleration on the 74° roof?
Expert Solution
Step 1
Write the given values using suitable variables.
Here m signifies cat mass, u signifies static friction coefficient, g signifies gravity.
1) Draw a free body diagram of the cat for 34-degree inclination.
Here N signifies normal force, g signifies gravity, and f signifies static friction.
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