4. Tilted Case: As you gradually increase the angle of the ramp, the critical angle, 0e, is the angle atwhich 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 thecritical angle, but not yet sliding.mg cos e9(sum the component columns)mgNa. Fill in the Force Table below for the normal force, N, weight, W, & friction, f.List of Forcesx-componentsNWfd. Solve (c) for the normal force, N.mg sine+ Fe-Ffrb. Write the equilibrium equation for the x force components.c. Write the equilibrium equation for the y force components.y-components+ EN-FO0e. In (b), replace f with µN, insert your solution for N from (d), & then solve for u.

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Description: 4. Tilted Case: As you gradually increase the angle of the ramp, the critical angle, 0e, is the angle atwhich the wood block + cargo starts to slide (no strings). Derive the equation relating the critical angle,Be, to the coefficient of friction, pt

Angle of ramp is at critical angle (θc) Block is now resting on the ramp at θc but not yet sliding.…

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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

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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Newton's First Law of Motion

If a very smooth ball is rolled down an inclined surface with zero friction, the ball will continue to roll indefinitely for an infinite time, in an attempt to reach to the same height on the opposite hill!

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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.

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