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Subject: Physics  Topic: Oscillations, waves and sound  ID: 155164

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A performer seated on a trapeze is swinging back and forth with a period of 8.85 s. If she stands up, thus raising the center of mass of the trapeze + performer system by 35.0 cm, what will be the new period of the system?
Treat trapeze + performer as a simple pendulum. ...MORE
Subject: Physics  Topic: Oscillations, waves and sound  ID: 155165

$ 1.0 




A physical pendulum consists of a meter stick that is pivoted at a small hole drilled through the stick a distance d from the 50 cm mark.
The period of oscillation is 2.5 s.
Find d. ...MORE
Subject: Physics  Topic: Oscillations, waves and sound  ID: 155166

$ 1.0 




In Fig.1646 , a physical pendulum consists of a uniform solid disk (of mass M and radius R) supported in a vertical plane by a pivot located a distance d from the center of the disk. The disk is displaced by a small angle and released.
Find an expression for the period of the resulting simple harmonic motion. ...MORE
Subject: Physics  Topic: Oscillations, waves and sound  ID: 155168

$ 1.5 




A pendulum is formed by pivoting a long thin rod of length L and mass m about a point on the rod that is a distance d above the center of the rod.
(a) Find the period of this pendulum in terms of d, L,m, and g, assuming smallamplitude swinging.
What happens to the period if (b) d is decreased,
(c) L is increased, or
(d) m is increased? ...MORE
Subject: Physics  Topic: Oscillations, waves and sound  ID: 155169

$ 1.5 




A uniform circular disk whose radius R is 12.5 cm is suspended as a physical pendulum from a point on its rim.
(a) What is its period?
(b) At what radial distance r < R is there a pivot point that gives the same period? ...MORE
Subject: Physics  Topic: Oscillations, waves and sound  ID: 155170

$ 1.5 




The pendulum in Fig.1649 consists of a uniform disk with radius 10.0 cm and mass 500g attached to a uniform rod with length 500 mm and mass 270 g
(a) Calculate the rotational inertia of the pendulum about the pivot point.
(b) What is the distance between the pivot point and the center of mass of the pendulum?
(c) Calculate the period of oscillation. ...MORE
Subject: Physics  Topic: Oscillations, waves and sound  ID: 155172

$ 1.5 




In Fig. 1650, a meter stick swings about a pivot point at one end, at distance h from its center of mass.
(a) What is its period of oscillation T ?
(b) What is the distance L0 between the pivot point О of the stick and the center of oscillation of the stick?
(c) If the physical pendulum is inverted and suspended at point P, what is its period of oscillation?
(d) Is the period now greater than, less than, or equal to its previous value?
...MORE
Subject: Physics  Topic: Oscillations, waves and sound  ID: 155174

$ 2.0 




A stick with length L oscillates as a physical pendulum, pivoted about point O in Fig.1652.
(a)Derive an expression for the period of the pendulum in terms of L and x, the distance from the pivot point to the center of mass of the pendulum.
(b) For what value of x/L is the period a minimum?
(c) Show that if L = 1.00 m and g = 9.80 m/s^2, this minimum is 1.53 s. ...MORE
Subject: Physics  Topic: Oscillations, waves and sound  ID: 155176

$ 2.0 




In Fig.1651, a meter stick swings about a pivot point at one end, at distance h from its center of mass.
(a) What is its period of oscillation T ?
(b) What is the distance L0 between the pivot point О of the stick and the center of oscillation of the stick?
(c) Show that the distance between the point of suspension and the center of oscillation for a physical pendulum of any form is I/mh, where I and h have the meanings assigned to them in Eq. T = 2PiSQRT(I/mgh) , and m is the mass of the pendulum.
...MORE
Subject: Physics  Topic: Oscillations, waves and sound  ID: 155178

$ 2.0 




In the overhead view of fig.1653, a long uniform rod of length L and mass m is free to rotate in a horizontal plane about a vertical axis through its center. A spring with force constant k is connected horizontally between one end of the rod and a fixed wall. When the rod is in equilibrium, it is parallel to the wall.
What is the period of the small oscillations that result when the rod is rotated lightly and released? ...MORE
Subject: Physics  Topic: Oscillations, waves and sound  ID: 155180

$ 1.5 




A simple pendulum of length L and mass m is suspended in a car that is traveling with constant speed v around a circle of radius R. If the pendulum undergoes small oscillations in a radial direction about its equilibrium position, what will be its frequency of oscillation? ...MORE
Subject: Physics  Topic: Oscillations, waves and sound  ID: 155181

$ 1.0 




What is the frequency of a simple pendulum 2.0 m long
(a) in a room
(b) in .an elevator accelerating upward at a rate of 2.0 m/s^2, and
(c) in free fall? ...MORE
Subject: Physics  Topic: Oscillations, waves and sound  ID: 155182

$ 1.5 




For a simple pendulum, find the angular amplitude Teta_m at which the restoring torque required for simple harmonic motion deviates from the actual restoring torque by 1.0% . ...MORE
Subject: Physics  Topic: Oscillations, waves and sound  ID: 155183

$ 2.0 




A wheel is free to rotate about its fixed axle. A spring is attached to one of its spokes a distance r from the axle, as shown in Fig.1658
(a) Assuming that the wheel is a hoop of mass m and radius R, obtain the angular frequency of small oscillations of this system in terms of m, R, r, and the spring constant k.
How does the result change if (b) r = R and (с) r = 0? ...MORE
Subject: Physics  Topic: Oscillations, waves and sound  ID: 155187

$ 2.0 




For the damped oscillator of Fig.1659, m = 250 g, k = 85 N/m, and b = 70 g/s.
What is the ratio of the amplitude of the damped oscillations to the initial amplitude when 20 full oscillations have elapsed? ...MORE
Subject: Physics  Topic: Oscillations, waves and sound  ID: 155189

$ 1.5 




The amplitude of a lightly damped oscillator decreases by 3.0% during each cycle.
What fraction of the mechanical energy of the oscillator is lost in each full oscillation? ...MORE
Subject: Physics  Topic: Oscillations, waves and sound  ID: 155190

$ 1.0 




For the system shown in Fig.1661, the block has a mass of 1.50 kg and the spring constant is 8.00 N/m. The clamping force is given by b(dx/dt), where b = 230 g/s. Suppose that the block is initially pulled down a distance 12.0 cm and released,
(a) Calculate the time required for the amplitude of the resulting oscillations to fall to onethird of its initial value,
(b) How many oscillations are made by the block in this time? ...MORE
Subject: Physics  Topic: Oscillations, waves and sound  ID: 155192

$ 1.5 




Assume that you are examining the oscillation characteristics of the suspension system of a 2000 kg automobile. The suspension "sags" 10 cm when the entire automobile is placed on it. Also, the amplitude of oscillation decreases by 50% during one complete oscillation.
Estimate the values of
(a) the spring constant к and
(b) the damping constant b for the spring and shock absorber system of one wheel, assuming each wheel supports 500 kg. ...MORE
Subject: Physics  Topic: Oscillations, waves and sound  ID: 155193

$ 2.0 




For Eq. x(t) = x_m cos(Omega*t + Fi), suppose the amplitude x_m is given by Eq.fig63a where F_m is the (constant) amplitude of the external oscillating force exerted on the spring by the rigid support in Fig. 1663b.
At resonance, what are
(a) the amplitude and
(b) the velocity amplitude of the oscillating object?
...MORE
Subject: Physics  Topic: Oscillations, waves and sound  ID: 155196

$ 1.0 

