A puck weighs 9 lb and rests on the center of the frictionless surface of the ramp supported in equilibrium by ropes AC and BC. Determine the normal force the ramp exerts on the puck as well as the tension in each of the two ropes.

A puck weighs 9 lb and rests on the center of the frictionless surface of the ramp supported in equilibrium by ropes AC and BC. Determine the normal force the ramp exerts on the puck as well as the tension in each of the two ropes.

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Question

A puck weighs 9 lb and rests on the center of the frictionless
surface of the ramp supported in equilibrium by ropes AC and
BC. Determine the normal force the ramp exerts on the puck as
well as the tension in each of the two ropes.
X
g
a
b
A
Values for dimensions on the figure are given in the following
table. Note the figure may not be to scale.
Variable Value
44.0 in
48.4 in
24.2 in
50.8 in
50.6 in
12.1 in
71.3 in
C
d
Z
e
f
9
B

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Step 1: Write the given data and what is to find

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Step 2: Determine the coordinates of the different points and inclination angle of the ramp:

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Step 3: Write the position vector of CA and force vector CA:

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Step 4: Write the position vector of CB and force vector CB:

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Step 5: Write the normal vector to the ramp:

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