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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An object of mass m1= 5.0 kg placed on a frictionless, horizontal table is connected to a string thatpasses over a pulley and then is fastened to a hanging object of mass m2 = 9.0 kg as shown in theFigure. Find:(a) The magnitude of the acceleration of the objects and(b) The tension T in the string.
A block with mass m1 = 9.2 kg rests on the surface of a horizontal table which has a coefficient of kinetic friction of μk = 0.58. A second block with a mass m2 = 10.8 kg is connected to the first by an ideal string passing over an ideal pulley such that the second block is suspended vertically. The second block is released from rest, and motion occurs.
Using the variable T to represent tension, write an expression for the sum of the forces in the y-direction, ΣFy, for block 2.
Using the variable T to represent tension, write an expression for the sum of the forces in the x-direction, ΣFx for block 1.
Block 1 accelerates along the tabletop, in the horizontal direction, while block 2 moves vertically. With the coordinate system provided in the drawing, we may write a⃗ 1=a1i^a→1=a1i^ and a⃗ 2=a2y^a→2=a2y^. Write an expression that relates the vertical component of the acceleration of block 2 to the horizontal component of the acceleration of block 1.
Write an expression using the…
A block with mass m1 = 9.2 kg rests on the surface of a horizontal table which has a coefficient of kinetic friction of μk = 0.58. A second block with a mass m2 = 10.8 kg is connected to the first by an ideal string passing over an ideal pulley such that the second block is suspended vertically. The second block is released from rest, and motion occurs.
Using the variable T to represent tension, write an expression for the sum of the forces in the y-direction, ΣFy, for block 2.
Using the variable T to represent tension, write an expression for the sum of the forces in the x-direction, ΣFx for block 1.
Block 1 accelerates along the tabletop, in the horizontal direction, while block 2 moves vertically. With the coordinate system provided in the drawing, we may write a⃗ 1=a1i^a→1=a1i^ and a⃗ 2=a2y^a→2=a2y^. Write an expression that relates the vertical component of the acceleration of block 2 to the horizontal component of the acceleration of block 1.
Write an expression using the…
Chapter 5 Solutions
Physics for Scientists and Engineers
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