Physics for Scientists and Engineers, Volume 1
9th Edition
ISBN: 9781133954156
Author: Raymond A. Serway
Publisher: CENGAGE L
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Textbook Question
Chapter 5, Problem 5.39P
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 object of mass m1 hangs from a string that passes over a very light fixed pulley P1 as shown. The string connects to a second very light pulley P2. A second string passes around this pulley with one end attached to a wall and the other to an object of mass m2 on a frictionless, horizontal table. (a) If a1 and a2 are the accelerations of m1 and m2, respectively, what is the relation between these accelerations? Find expressions for (b) the tensions in thestrings and (c) the accelerations a1 and a2 in terms of the masses m1 and m2, and g.
Chapter 5 Solutions
Physics for Scientists and Engineers, Volume 1
Ch. 5 - Which of the following statements is correct? (a)...Ch. 5 - An object experiences no acceleration. Which of...Ch. 5 - You push an object, initially at rest, across a...Ch. 5 - Suppose you are talking by interplanetary...Ch. 5 - (i) If a fly collides with the windshield of a...Ch. 5 - You press your physics textbook flat against a...Ch. 5 - Charlie is playing with his daughter Toney in the...Ch. 5 - The driver of a speeding empty truck slams on the...Ch. 5 - In Figure OQ5.2, a locomotive has broken through...Ch. 5 - The third graders are on one side of a schoolyard,...
Ch. 5 - The driver of a speeding truck slams on the brakes...Ch. 5 - An experiment is performed on a puck on a level...Ch. 5 - The manager of a department store is pushing...Ch. 5 - Two objects are connected by a siring that passes...Ch. 5 - An object of mass m is sliding with speed v, at...Ch. 5 - A truck loaded with sand accelerates along a...Ch. 5 - A large crate of mass m is place on the flatbed of...Ch. 5 - If an object is in equilibrium, which of the...Ch. 5 - A crate remains stationary after it has been...Ch. 5 - An object of mass m moves with acceleration a down...Ch. 5 - If you hold a horizontal metal bar several...Ch. 5 - Your hands are wet, and the restroom towel...Ch. 5 - In the motion picture It Happened One Night...Ch. 5 - If a car is traveling due westward with a constant...Ch. 5 - A passenger sitting in the rear of a bus claims...Ch. 5 - A child tosses a ball straight up. She says that...Ch. 5 - A person holds a ball in her hand, (a) Identify...Ch. 5 - A spherical rubber balloon inflated with air is...Ch. 5 - A rubber ball is dropped onto the floor. What...Ch. 5 - Twenty people participate in a tug-of-war. The two...Ch. 5 - Can an object exert a force on itself? Argue for...Ch. 5 - When you push on a box with a 200-N force instead...Ch. 5 - A weight lifter stands on a bathroom scale. He...Ch. 5 - An athlete grips a light rope that passes over a...Ch. 5 - Suppose you are driving a classic car. 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Figure P5.15 shows a worker poling a boata...Ch. 5 - An iron bolt of mass 65.0 g hangs from a string...Ch. 5 - Figure P5.27 shows the horizontal forces acting on...Ch. 5 - The systems shown in Figure P5.28 are in...Ch. 5 - Assume the three blocks portrayed in Figure P5.29...Ch. 5 - A block slides down a frictionless plane having an...Ch. 5 - The distance between two telephone poles is 50.0...Ch. 5 - A 3.00-kg object is moving in a plane, with its x...Ch. 5 - A bag of cement weighing 325 N hangs in...Ch. 5 - A bag of cement whose weight is Fg hangs in...Ch. 5 - Two people pull as hard as they can on horizontal...Ch. 5 - Figure P5.36 shows loads hanging from the ceiling...Ch. 5 - An object of mass m = 1.00 kg is observed to have...Ch. 5 - A setup similar to the one shown in Figure P5.38...Ch. 5 - A simple accelerometer is constructed inside a car...Ch. 5 - An object of mass m1 = 5.00 kg placed on a...Ch. 5 - Figure P5.41 shows the speed of a persons body as...Ch. 5 - Two objects are connected by a light string that...Ch. 5 - Two blocks, each of mass m = 3.50 kg, are hung...Ch. 5 - Two blocks, each of mass m, are hung from the...Ch. 5 - In the system shown in Figure P5.23, a horizontal...Ch. 5 - An object of mass m1 hangs from a string that...Ch. 5 - A block is given an initial velocity of 5.00 m/s...Ch. 5 - A car is stuck in the mud. A tow truck pulls on...Ch. 5 - Two blocks of mass 3.50 kg and 8.00 kg arc...Ch. 5 - In the Atwood machine discussed in Example 5.9 and...Ch. 5 - In Example 5.8, we investigated the apparent...Ch. 5 - Consider a large truck carrying a heavy load, such...Ch. 5 - Review. A rifle bullet with a mass of 12.0 g...Ch. 5 - Review. A car is traveling at 50.0 mi/h on a...Ch. 5 - A 25.0-kg block is initially at rest oil a...Ch. 5 - Why is the following situation impassible? Your...Ch. 5 - To determine the coefficients of friction between...Ch. 5 - Before 1960m people believed that the maximum...Ch. 5 - To meet a U.S. Postal Service requirement,...Ch. 5 - A woman at an airport is towing her 20.0-kg...Ch. 5 - Review. A 3.00-kg block starts from rest at the...Ch. 5 - The person in Figure P5.30 weighs 170 lb. 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A...Ch. 5 - Review. A block of mass m = 2.00 kg is released...Ch. 5 - In Figure P5.55, the incline has mass M and is...Ch. 5 - A block of mass m = 2.00 kg rests on the left edge...Ch. 5 - A mobile is formed by supporting four metal...
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