Physics for Scientists and Engineers
10th Edition
ISBN: 9781337553278
Author: Raymond A. Serway, John W. Jewett
Publisher: Cengage Learning
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Chapter 5, Problem 21P
A simple accelerometer is constructed inside a car by suspending an object of mass m from a string of length L that is tied to the car’s ceiling. As the car accelerates the string-object system makes a constant angle of θ with the vertical. (a) Assuming that the string mass is negligible compared with m, derive an expression for the car’s acceleration in terms of θ and show that it is independent of the mass m and the length L. (b) Determine the acceleration of the car when θ = 23.0º.
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Two masses, A and B, lie on a frictionless table, as shown. They are attached to either end of a light rope of length L, which passes around
a pulley of negligible mass. The pulley is attached to a rope of length L, connected to a hanging mass, C. Find the acceleration of each mass.
(You can check whether or not your answer is reasonable by considering special cases for instance, the cases M4 = 0, or MA = MB = Mɛ.)
MA
Hints: the constraints are:
MB
Xc - Xp = L2 (constant) and (Xp- Xa) +(Xp – Xâ) = L1 (constant )
P= pulley
Mc
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An engine exerts a force of 8000 N on a 1000 kg car travelling over a flat road (with coefficient of friction μk). The force accelerates the car from 25 m/s to 40 m/s in 5 s. Find, (a) the net acceleration of the car, and (b) μk between the car and the road?
An ideal massless rope passes over a massless, frictionless pulley. Block A with mass mA=9.8 kg, and block B with mass mB=4.3 kg, are suspended from opposite ends of the rope. Consider the motion of the blocks after they are released from rest. Let a be the magnitude of their acceleration, and let FT be the tension in the rope. Let upward be the positive y direction for block B, and let downward be the positive y direction for block A.
1. Write an expression for the net force on block A consistent with the positive direction as given in the problem statement.
2. Write an expression for the net force on block B consistent with the positive direction as given in the problem statement.
3. Enter an expression for the acceleration of either block.
4. What is the numerical value, in newtons, of the tension in the rope?
Chapter 5 Solutions
Physics for Scientists and Engineers
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