Principles of Physics: A Calculus-Based Text
5th Edition
ISBN: 9781133104261
Author: Raymond A. Serway, John W. Jewett
Publisher: Cengage Learning
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Question
Chapter 5, Problem 29P
(a)
To determine
The value of the constant
(b)
To determine
The time at which the bead reaches the
(c)
To determine
The value of the resistive force when the bead reaches the terminal speed.
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A 10-kg mass is attached to a spring having a spring constant 140 N/m. The mass is
started in motion from the equilibrium position with an initial velocity of 1m/sec in
the upward direction and with an applied external force of f(t) =20cost (in Newtons).
The mass is in a viscous medium with a coefficient of resistance equal to 90 N –
sec/m.
a) What should be noted to avoid disastrous consequences to the system?
A 10-kg mass is attached to a spring having a spring constant 140 N/m. The mass is
started in motion from the equilibrium position with an initial velocity of 1m/sec in
the upward direction and with an applied external force of f(t) =20cost (in Newtons).
The mass is in a viscous medium with a coefficient of resistance equal to 90 N –
sec/m.
a) Formulate an initial value problem that models the given system
b) Find the equation of the motion at any time t.
c) Predict what will happen after a long time. Sketch the graph of the motion.
c) What should be noted to avoid disastrous consequences to the system?
You are working in a factory that produces long bars of copper with a square cross section. In one section of the production process, the bars must slide down an inclined plane of angle θ. It has been found that the bars travel with too high a speed and become dented or bent when they arrive at the bottom of the plane and must be discarded. In order to prevent this waste, you devise a way to deliver the bars at the bottom of the plane at a lower speed. You replace the inclined plane with a pair of parallel metal rails, as shown, separated by a distance ℓ. The smooth bars of mass m will slide down the smooth rails, with the length of the bar always perpendicular to the rails. The rails are immersed in a magnetic field of magnitude B, and a resistor of resistance R is connected between the upper ends of the rails. Determine the magnetic field necessary in your device so that the bars will arrive at the bottom of the plane with a maximum speed υmax.
Chapter 5 Solutions
Principles of Physics: A Calculus-Based Text
Ch. 5.1 - You press your physics textbook flat against a...Ch. 5.1 - A crate is located in the center of a flatbed...Ch. 5.1 - You are playing with your daughter in the snow....Ch. 5.2 - You are riding on a Ferris wheel (Fig. 5.8) that...Ch. 5.3 - Which of the following is impossible for a car...Ch. 5.3 - A bead slides freely along a curved wire lying on...Ch. 5.4 - Consider a sky surfer falling through air, as in...Ch. 5 - The driver of a speeding empty truck slams on the...Ch. 5 - The manager of a department store is pushing...Ch. 5 - An object of mass m moves with acceleration a down...
Ch. 5 - An office door is given a sharp push and swings...Ch. 5 - Prob. 5OQCh. 5 - A pendulum consists of a small object called a bob...Ch. 5 - A door in a hospital has a pneumatic closer that...Ch. 5 - The driver of a speeding truck slams on the brakes...Ch. 5 - A child is practicing for a BMX race. His speed...Ch. 5 - A large crate of mass m is placed on the flatbed...Ch. 5 - Before takeoff on an airplane, an inquisitive...Ch. 5 - Prob. 12OQCh. 5 - As a raindrop falls through the atmosphere, its...Ch. 5 - An object of mass m is sliding with speed vi at...Ch. 5 - A car is moving forward slowly and is speeding up....Ch. 5 - Prob. 2CQCh. 5 - Prob. 3CQCh. 5 - Prob. 4CQCh. 5 - Prob. 5CQCh. 5 - Prob. 6CQCh. 5 - Prob. 7CQCh. 5 - Prob. 8CQCh. 5 - Prob. 9CQCh. 5 - Prob. 10CQCh. 5 - It has been suggested that rotating cylinders...Ch. 5 - Prob. 12CQCh. 5 - Why does a pilot tend to black out when pulling...Ch. 5 - Prob. 1PCh. 5 - Prob. 2PCh. 5 - Prob. 3PCh. 5 - Prob. 4PCh. 5 - Prob. 5PCh. 5 - The person in Figure P5.6 weighs 170 lb. As seen...Ch. 5 - A 9.00-kg hanging object is connected by a light,...Ch. 5 - Prob. 8PCh. 5 - A 3.00-kg block starts from rest at the top of a...Ch. 5 - Prob. 10PCh. 5 - Prob. 11PCh. 5 - A block of mass 3.00 kg is pushed up against a...Ch. 5 - Two blocks connected by a rope of negligible mass...Ch. 5 - Three objects are connected on a table as shown in...Ch. 5 - Why is the following situation impossible? Your...Ch. 5 - Prob. 16PCh. 5 - A light string can support a stationary hanging...Ch. 5 - Why is the following situation impossible? The...Ch. 5 - A crate of eggs is located in the middle of the...Ch. 5 - Prob. 20PCh. 5 - Prob. 21PCh. 5 - A roller coaster at the Six Flags Great America...Ch. 5 - Prob. 23PCh. 5 - Prob. 24PCh. 5 - Prob. 25PCh. 5 - A pail of water is rotated in a vertical circle of...Ch. 5 - Prob. 27PCh. 5 - A child of mass m swings in a swing supported by...Ch. 5 - Prob. 29PCh. 5 - (a) Estimate the terminal speed of a wooden sphere...Ch. 5 - Prob. 31PCh. 5 - Prob. 32PCh. 5 - Prob. 33PCh. 5 - A 9.00-kg object starting from rest falls through...Ch. 5 - Prob. 35PCh. 5 - Prob. 36PCh. 5 - Prob. 37PCh. 5 - Prob. 38PCh. 5 - Prob. 39PCh. 5 - Prob. 40PCh. 5 - Prob. 41PCh. 5 - Prob. 42PCh. 5 - Consider the three connected objects shown in...Ch. 5 - A car rounds a banked curve as discussed in...Ch. 5 - Prob. 45PCh. 5 - An aluminum block of mass m1 = 2.00 kg and a...Ch. 5 - Figure P5.47 shows a photo of a swing ride at an...Ch. 5 - Why is the following situation impossible? A...Ch. 5 - A space station, in the form of a wheel 120 m in...Ch. 5 - A 5.00-kg block is placed on top of a 10.0-kg...Ch. 5 - In Example 6.5, we investigated the forces a child...Ch. 5 - Prob. 52PCh. 5 - Prob. 53PCh. 5 - Prob. 54PCh. 5 - Prob. 55PCh. 5 - Prob. 56PCh. 5 - Prob. 57PCh. 5 - Why is the following situation impossible? A book...Ch. 5 - A single bead can slide with negligible friction...Ch. 5 - An amusement park ride consists of a large...Ch. 5 - Prob. 61PCh. 5 - Prob. 62PCh. 5 - Prob. 63PCh. 5 - If a single constant force acts on an object that...
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