PHYSICS F/SCIEN.+ENGRS. W/SAPLING >IC<
6th Edition
ISBN: 9781319336127
Author: Tipler
Publisher: MAC HIGHER
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Chapter 4, Problem 47P
(a)
To determine
The free body diagram of the light and if the tension in the wire 1 is greater than or less than tension in the wire 2.
(b)
To determine
The values of the tensions.
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If the normal force exerted by the track on the car when it is at the top of the track (point B) is 6.00 N, what is the normal force on the car when it is at the bottom of the track (point A)?
Write Newton's laws for a static system
(1) EF, = mg sin 0 – µ̟n = 0
in component form. The gravity force
has two components.
(2) EF, = n - mg cos 0 = 0
Rearrange Equation (2) to get an
n = mg cos e
expression for the normal force n.
Substitute the expression for n into
EF, = mg sin 0 – µ̟mgcos 0 = 0 → tan 0 =µ,
Equation (1) and solve for tan 0.
Apply the inverse tangent function to
tan 0 = 0.350 → 0 = tan 1 (0.350) = 19.3°
get the answer.
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REMARKS It's interesting that the final result depends only on the coefficient of static friction. Notice
also how similar Equations (1) and (2) are to the equations developed in previous problems. Recognizing
such patterns is key to solving problems successfully.
QUESTION A larger static friction constant would result in a: (Select all that apply.)
O larger component of normal force at the maximum angle.
O larger component of gravitational force along the ramp at the maximum angle.
smaller component of gravitational force along the ramp…
In the above figure, the block of mass m is at rest on an inclined plane on earth that makes an angle θ with the horizontal. The force of static friction f must be such that:
Chapter 4 Solutions
PHYSICS F/SCIEN.+ENGRS. W/SAPLING >IC<
Ch. 4 - Prob. 1PCh. 4 - Prob. 2PCh. 4 - Prob. 3PCh. 4 - Prob. 4PCh. 4 - Prob. 5PCh. 4 - Prob. 6PCh. 4 - Prob. 7PCh. 4 - Prob. 8PCh. 4 - Prob. 9PCh. 4 - Prob. 10P
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