pleaseee help For a simple pendulum, why must the pendulum'soscillations be small in order for the pendulum'smotion to resemble simple harmonic motion?A. The mass of the bob on the pendulum must belarge or this will not work.B. The oscillations must be small so that tension andgravity are essentially aligned.C. The oscillations must be small to reduce airresistance.D. The condition sin e = 0 is not met for the largeangles of large oscillations.CQuestion 101 ptsPendulum A has length Land a bob of mass M at itsend. Pendulum B has length L/4 and a bob of massM/9 at its end. If both pendulums are set in motionwith small amplitude oscillations, what is the ratio oftheir frequencies fA/fB?А. 2/1В. 1/4С. 1/2D. 2/3 A spring with spring constant k hangs vertically.Fermina hangs a mass from the spring and displacesit from its equilibrium position so that it oscillates upand down at a frequency f. She then removes thismass and replaces it with a mass with four times themass of the original one, and sets it to oscillate again.What will the frequency be now?A. f/2В. 4fC. f/4D. 2fQuestion 81 ptsThe period of a simple harmonic oscillator is 0.04 s.What is its angular frequency?А. 25 л rad/sB. 50 rad/sC. 50 rad/sD. 40 T rad/s

For a simple pendulum , the oscillations is kept small so as to reduce the air resistance andmatch…

For a simple pendulum, why must the pendulum's oscillations be small in order for the pendulum's motion to resemble simple harmonic motion? A. The mass of the bob on the pendulum must be large or this will not work. B. The oscillations must be small so that tension a gravity are essentially aligned. C. The oscillations must be small to reduce air resistance. D. The condition sin 0 = 0 is not met for the large angles of large oscillations.

For a simple pendulum, why must the pendulum's oscillations be small in order for the pendulum's motion to resemble simple harmonic motion? A. The mass of the bob on the pendulum must be large or this will not work. B. The oscillations must be small so that tension a gravity are essentially aligned. C. The oscillations must be small to reduce air resistance. D. The condition sin 0 = 0 is not met for the large angles of large oscillations.

Physics for Scientists and Engineers, Technology Update (No access codes included)

9th Edition

ISBN:9781305116399

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter15: Oscillatory Motion

Section: Chapter Questions

Problem 15.9OQ: You stand on the end of a diving board and bounce to set it into oscillation. You find a maximum...

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A spring of negligible mass stretches 3.00 cm from its relaxed length when a force of 7.50 N is applied. A 0.500-kg particle rests on a frictionless horizontal surface and is attached to the free end of the spring. The particle is displaced from the origin to x = 5.00 cm and released from rest at t = 0. (a) What is the force constant of the spring? (b) What are the angular frequency , the frequency, and the period of the motion? (c) What is the total energy of the system? (d) What is the amplitude of the motion? (c) What are the maximum velocity and the maximum acceleration of the particle? (f) Determine the displacement x of the particle from the equilibrium position at t = 0.500 s. (g) Determine the velocity and acceleration of the particle when t = 0.500 s.
You stand on the end of a diving board and bounce to set it into oscillation. You find a maximum response in terms of the amplitude of oscillation of the end of the board when you bounce at frequency f. You now move to the middle of the board and repeat the experiment. Is the resonance frequency for forced oscillations at this point (a) higher, (b) lower, or (c) the same as f?
(a) The springs of a pickup truck act like a single spring with a force constant of 1.30105N/m. By how much will the truck he depressed by its maximum load of 1000 kg? (b) If the pickup truck has four identical springs, what is the force constant of each?
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?
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.
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 block with mass m = 0.1 kg oscillates with amplitude .A = 0.1 in at the end of a spring with force constant k = 10 N/m on a frictionless, horizontal surface. Rank the periods of the following situations from greatest to smallest. If any periods are equal, show their equality in your tanking, (a) The system is as described above, (b) The system is as described in situation (a) except the amplitude is 0.2 m. (c) The situation is as described in situation (a) except the mass is 0.2 kg. (d) The situation is as described in situation (a) except the spring has force constant 20 N/m. (e) A small resistive force makes the motion underdamped.
The top end of a spring is held fixed. A block is hung on the bottom end as in Figure OQ15.13a, and the frequency f of the oscillation of the system is measured. The block, a second identical block, and the spring are carried up in a space shuttle to Earth orbit. The two blocks are attached to the ends of the spring. The spring is compressed without making adjacent coils touch (Fig. OQ15.13b), and the system is released to oscillate while floating within the shuttle cabin (Fig. OQ15.13C). What is the frequency of oscillation for this system in terms of f? (a) f/2 (b) f/ 2 (c) f (d) 2/ (e) 2f
Near the top of the Citigroup Center building in New York City, there is an object with mass of 4.00105 kg on springs that have adjustable force constants. Its function is to dampen wind-driven oscillations of the building by oscillating at the same frequency as the building is being driven—the driving force is transferred to the object, which oscillates instead of the entire building. (a) What effective force constant should the springs have to make the object oscillate with a period of 2.00 s? (b) What energy is stored in the springs for a 2.00-m displacement from equilibrium?
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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
A baby bounces up and down in her crib. Her mass is 12.5 kg, and the crib mattress can be modeled as a light spring with force constant 700 N/m. (a) The baby soon learns to bounce with maximum amplitude and minimum effort by bending her knees at what frequency? (b) If she were to use the mattress as a trampoline losing contact with it for part of each cyclewhat minimum amplitude of oscillation does she require?