4. Tilted Case: As you gradually increase the angle of the ramp, the critical angle, 0c, is the angle at which the wood block + cargo starts to slide (no strings). Derive the equation relating the critical angle, Oe, to the coefficient of friction, H. (Hint: this will involve the tangent function.) Assume you are at the critical angle, but not yet sliding. mg cos e f 9 (sum the component columns) N a. Fill in the Force Table below for the normal force, N, weight, W, & friction, f. List of Forces x-components N W mg + Fe -Ffr b. Write the equilibrium equation for the x force components. d. Solve (e) for the normal force, N. mg sin e c. Write the equilibrium equation for the y force components. -FG 0 y-components e. In (b), replace f with µN, insert your solution for N from (d), & then solve for u.
4. Tilted Case: As you gradually increase the angle of the ramp, the critical angle, 0c, is the angle at which the wood block + cargo starts to slide (no strings). Derive the equation relating the critical angle, Oe, to the coefficient of friction, H. (Hint: this will involve the tangent function.) Assume you are at the critical angle, but not yet sliding. mg cos e f 9 (sum the component columns) N a. Fill in the Force Table below for the normal force, N, weight, W, & friction, f. List of Forces x-components N W mg + Fe -Ffr b. Write the equilibrium equation for the x force components. d. Solve (e) for the normal force, N. mg sin e c. Write the equilibrium equation for the y force components. -FG 0 y-components e. In (b), replace f with µN, insert your solution for N from (d), & then solve for u.
College Physics
1st Edition
ISBN:9781938168000
Author:Paul Peter Urone, Roger Hinrichs
Publisher:Paul Peter Urone, Roger Hinrichs
Chapter5: Further Applications Of Newton's Laws: Friction, Drag, And Elasticity
Section: Chapter Questions
Problem 2PE: (a) When rebuilding her car's engine, a physics major must exert 300 N of force to insert a dry...
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