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
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Author:Paul Peter Urone, Roger Hinrichs
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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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4. Tilted Case: As you gradually increase the angle of the ramp, the critical angle, 0e, is the angle at
which the wood block + cargo starts to slide (no strings). Derive the equation relating the critical angle,
Be, to the coefficient of friction, pt. (Hint: this will involve the tangent function.) Assume you are at the
critical angle, but not yet sliding.
mg cos e
9
(sum the component columns)
mg
N
a. Fill in the Force Table below for the normal force, N, weight, W, & friction, f.
List of Forces
x-components
N
W
f
d. Solve (c) for the normal force, N.
mg sine
+ Fe
-Ffr
b. Write the equilibrium equation for the x force components.
c. Write the equilibrium equation for the y force components.
y-components
+ EN
-F
O
0
e. In (b), replace f with µN, insert your solution for N from (d), & then solve for u.
Transcribed Image Text:4. Tilted Case: As you gradually increase the angle of the ramp, the critical angle, 0e, is the angle at which the wood block + cargo starts to slide (no strings). Derive the equation relating the critical angle, Be, to the coefficient of friction, pt. (Hint: this will involve the tangent function.) Assume you are at the critical angle, but not yet sliding. mg cos e 9 (sum the component columns) mg N a. Fill in the Force Table below for the normal force, N, weight, W, & friction, f. List of Forces x-components N W f d. Solve (c) for the normal force, N. mg sine + Fe -Ffr b. Write the equilibrium equation for the x force components. c. Write the equilibrium equation for the y force components. y-components + EN -F O 0 e. In (b), replace f with µN, insert your solution for N from (d), & then solve for u.
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