MC1) Which one of the following statements concerning the mechanical energy of a simple harmonic oscillator at a particular point in its motion is true? A. The mechanical energy depends on the acceleration at that point. B. The mechanical energy depends on the velocity at that point. C. The mechanical energy depends on the position of that point. D. The mechanical energy does not vary during the motion. E. The mechanical energy is equal to zero joules if the point is the equilibrium point.

MC1) Which one of the following statements concerning the mechanical energy of a simple harmonic oscillator at a particular point in its motion is true? A. The mechanical energy depends on the acceleration at that point. B. The mechanical energy depends on the velocity at that point. C. The mechanical energy depends on the position of that point. D. The mechanical energy does not vary during the motion. E. The mechanical energy is equal to zero joules if the point is the equilibrium point.

Name: MC1) Which one of the following statements concerning the mechanical
Uploaded: 2024-03-20T06:58:04.000Z
Channel: Bartleby
Description: MC1) Which one of the following statements concerning the mechanical energy of asimple harmonic oscillator at a particular point in its motion is true?A. The mechanical energy depends on the acceleration at that point.B. The mechanical energy depend

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter12: Oscillatory Motion

Section: Chapter Questions

Problem 24P

See similar textbooks

Similar questions

You attach an object to the bottom end of a hanging vertical spring. It hangs at rest alter extending the spring 18.3 cm. You then set the object vibrating. (a) Do you have enough information to find its period? (b) Explain your answer and state whatever you can about its period.
It is important for astronauts in space to monitor their body weight. In Earth orbit, a simple scale only reads an apparent weight of zero, so another method is needed. NASA developed the body mass measuring device (BMMD) for Skylab astronauts. The BMMD is a spring-mounted chair that oscillates in simple harmonic motion (Fig. P16.23). From the period of the motion, the mass of the astronaut can be calculated. In a typical system, the chair has a period of oscillation of 0.901 s when empty. The spring constant is 606 N/m. When a certain astronaut sits in the chair, the period of oscillation increases to 2.37 s. Determine the mass of the astronaut. FIGURE P16.23
Explain why you expect an object made of a stiff material to vibrate at a higher frequency than a similar object made of a spongy material.
In an engine, a piston oscillates with simpler harmonic motion so that its position varies according to the expression x=5.00cos(2t+6) where x is in centimeters and t is in seconds. At t = O. find (a) the position of the particle, (b) its velocity, and (c) its acceleration. Find (d) the period and (e) the amplitude of the motion.
An object-spring system moving with simple harmonic motion has an amplitude A. (a) What is the total energy of the system in terms of k and A only? (b) Suppose at a certain instant the kinetic energy is twice the elastic potential energy. Write an equation describing this situation, using only the variables for the mass m, velocity v, spring constant k, and position x. (c) Using the results of parts (a) and (b) and the conservation of energy equation, find the positions x of the object when its kinetic energy equals twice the potential energy stored in the spring. (The answer should in terms of A only.)
A vertical spring stretches 3.9 cm when a 10.-g object is hung from it. The object is replaced with a block of mass 25 g that oscillates up and down in simple harmonic motion. Calculate the period of motion.
A piston in a gasoline engine is in simple harmonic motion. The engine is running at the rate of 3 600 rev min. Taking the extremes of its position relative to its center point as 5.00 cm, find the magnitudes of the (a) maximum velocity and (b) maximum acceleration of the piston.
A horizontal spring attached to a wall has a force constant of 850 N/m. A block of mass 1.00 kg is attached to the spring and oscillates freely on a horizontal, frictionless surface as in Figure 5.22. The initial goal of this problem is to find the velocity at the equilibrium point after the block is released. (a) What objects constitute the system, and through what forces do they interact? (b) What are the two points of interest? (c) Find the energy stored in the spring when the mass is stretched 6.00 cm from equilibrium and again when the mass passes through equilibrium after being released from rest. (d) Write the conservation of energy equation for this situation and solve it for the speed of the mass as it passes equilibrium. Substitute to obtain a numerical value. (e) What is the speed at the halfway point? Why isnt it half the speed at equilibrium?
A grandfather clock depends on the period of a pendulum to keep correct time. (i) Suppose a grandfather clock is calibrated correctly and then a mischievous child slides the bob of the pendulum downward on the oscillating rod. Does the grandfather clock run (a) slow, (b) fast, or (c) correctly? (ii) Suppose the grandfather clock is calibrated correctly at sea level and is then taken to the top of a very tall mountain. Does the grandfather clock run (a) slow, (b) fast, or (c) correctly?
Four people, each with a mass of 72.4 kg, are in a car with a mass of 1 130 kg. An earthquake strikes. The vertical oscillations of the ground surface make the car bounce up and down on its suspension springs, but the driver manages to pull off the road and stop. When the frequency of the shaking is 1.80 Hz, the car exhibits a maximum amplitude of vibration. The earthquake ends, and the four people leave the car as fast as they can. By what distance docs the cars undamaged suspension lift the cars body as the people get out?
A 90.0kg skydiver hanging from a parachute bounces up and down with a period of 1.50 s. What is the new period of oscillation when a second skydiver, whose mass is 60.0 kg, hangs from the legs of the first, as seen in Figure 16.47. Figure 16.4? The oscillations of one Skydiver are about to be affected by a second skydiver. (credit: U.S. Army, www.army.mil)
Pendulum clocks are made to run at the correct rate by adjusting the pendulum's length. Suppose you move from one city to another where the acceleration due to gravity is slightly greater, taking your pendulum clock with you, will you have to lengthen or shorten the pendulum to keep the correct time, other factors remaining constant? Explain your answer.