Matter and Interactions
4th Edition
ISBN: 9781118875865
Author: Ruth W. Chabay, Bruce A. Sherwood
Publisher: WILEY
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Chapter 4, Problem 19Q
(a)
To determine
The factor by which the period changes doubling the mass but keeping the stiffness unchanged.
(b)
To determine
The factor by which the period changes doubling the spring stiffness but keeping the mass unchanged.
(c)
To determine
The factor by which the period changes on doubling the spring stiffness and mass.
(d)
To determine
The factor by which the period changes on doubling the amplitude but spring constant and mass kept the same.
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A block of mass m₁
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A block of mass m₁ = 10.0 kg is connected to a block of mass m₂ = 34.0 kg by a massless string that passes over a light, frictionless pulley. The 34.0-kg block is connected to a spring that has negligible mass and a force constant of k = 200 N/m as shown in the figure below. The spring is
unstretched when the system is as shown in the figure, and the incline is frictionless. The 10.0-kg block is pulled a distance h = 22.0 cm down the incline of angle 0 = 40.0° and released from rest. Find the speed of each block when the spring is again unstretched.
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Truck suspensions often have "helper springs" that engage at high loads. One such arrangement is a leaf spring with a helper coil spring mounted on the axle, as in the figure below. The helper spring engages when the main leaf spring is compressed by distance yo, and then helps to
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Chapter 4 Solutions
Matter and Interactions
Ch. 4.4 - Prob. 1CPCh. 4.5 - If a chain of 20 identical short springs linked...Ch. 4.5 - Nine identical springs are placed side by side (in...Ch. 4.5 - The 2 m copper wire with square cross section of 1...Ch. 4.6 - You hang a 5 kg mass from the end of a rod that is...Ch. 4.10 - At a certain instant the momentum of an object is...Ch. 4.11 - You have a rubber band whose relaxed length is 8.5...Ch. 4.13 - A certain metal with atomic mass 2 × 10−25 kg has...Ch. 4.14 - Calculate the buoyant force in air on a kilogram...Ch. 4.14 - Do the calculation and verify that the height of a...
Ch. 4.17 - Prob. 12CPCh. 4 - Prob. 1QCh. 4 - Approximately what is the radius of a copper atom?...Ch. 4 - (a) A climber whose mass is 55 kg hangs motionless...Ch. 4 - You hang a 10 kg mass from a copper wire, and the...Ch. 4 - You hang a mass M from a spring, which stretches...Ch. 4 - A spring has stiffness ks. You cut the spring in...Ch. 4 - Lead is much softer than aluminum, and can be more...Ch. 4 - Two wires are made of the same kind of metal. Wire...Ch. 4 - Two wires with equal lengths are made of pure...Ch. 4 - Suppose you attempt to pick up a very heavy...Ch. 4 - (a) In outer space, a rod is pushed to the right...Ch. 4 - Bob is pushing a box across the floor at a...Ch. 4 - In a spring–mass oscillator, when is the magnitude...Ch. 4 - For a vertical spring–mass oscillator that is...Ch. 4 - Prob. 15QCh. 4 - How should you start the system going at t = 0 in...Ch. 4 - Describe two examples of oscillating systems that...Ch. 4 - Two rods are both made of pure titanium. The...Ch. 4 - A particular spring–mass oscillator oscillates...Ch. 4 - Uranium-238 (U238) has three more neutrons than...Ch. 4 - Prob. 21PCh. 4 - A block of one mole of a certain material whose...Ch. 4 - The diameter of a copper atom is approximately...Ch. 4 - Prob. 24PCh. 4 - If a chain of 50 identical short springs linked...Ch. 4 - A certain spring has stiffness 190 N/m. The spring...Ch. 4 - Forty-five identical springs are placed side by...Ch. 4 - A certain spring has stiffness 140 N/m. The spring...Ch. 4 - Five identical springs, each with stiffness 390...Ch. 4 - A hanging titanium wire with diameter 2 mm (2 ×...Ch. 4 - Prob. 31PCh. 4 - One mole of tungsten (6.02 × 1023 atoms) has a...Ch. 4 - A hanging iron wire with diameter 0.08 cm is...Ch. 4 - Steel is very stiff, and Young’s modulus for steel...Ch. 4 - Prob. 35PCh. 4 - Young’s modulus for aluminum is 6.2 × 1010 N/m2....Ch. 4 - Suppose that we hang a heavy ball with a mass of...Ch. 4 - You hang a heavy ball with a mass of 14 kg from a...Ch. 4 - A hanging wire made of an alloy of iron with...Ch. 4 - A certain coiled wire with uneven windings has the...Ch. 4 - Two blocks of mass m1 and m3, connected by a rod...Ch. 4 - Prob. 42PCh. 4 - A 3 kg block measures 5 cm by 10 cm by 20 cm. When...Ch. 4 - A 15 kg box sits on a table. The coefficient of...Ch. 4 - A 20 kg box is being pushed across the floor by a...Ch. 4 - You drag a block across a table while a friend...Ch. 4 - For this problem you will need measurements of the...Ch. 4 - It is sometimes claimed that friction forces...Ch. 4 - A chain of length L and mass M is suspended...Ch. 4 - A ball whose mass is 1.4 kg is suspended from a...Ch. 4 - Prob. 51PCh. 4 - A bouncing ball is an example of an anharmonic...Ch. 4 - Here on Earth you hang a mass from a vertical...Ch. 4 - In the approximation that the Earth is a sphere of...Ch. 4 - A spring suspended vertically is 18 cm long. When...Ch. 4 - It was found that a 20 g mass hanging from a...Ch. 4 - A vertical mass–spring oscillator has an amplitude...Ch. 4 - In Problem P36 you can find the effective spring...Ch. 4 - Prob. 59PCh. 4 - Prob. 60PCh. 4 - Prob. 61PCh. 4 - Two metal rods are made of different elements. The...Ch. 4 - You hang a heavy ball with a mass of 41 kg from a...Ch. 4 - Prob. 64PCh. 4 - It is hard to imagine that there can be enough air...Ch. 4 - Prob. 66PCh. 4 - Prob. 67PCh. 4 - Here are two examples of floating objects: (a) A...
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