Need help with parts A and B pls Constants I Periodic TableA 310-kg wooden raft floats on a lake. When a 74-kg man stands on the raft, it sinks 3.9 cm deeperinto the water. When he steps off, the raft oscillatesfor a while.Part AWhat is the frequency of oscillation?Express your answer using two significant figures.ΑΣφ?f =HzSubmitRequest AnswerPart BWhat is the total energy of oscillation (ignoring damping)?Express your answer using two significant figures.Ηνα ΑΣφ?EtotalJ%D

Answered: Image /qna-images/answer/03db8a91-4756-45c6-a20e-006b294ae85c.jpg

Answered: Part B What is the total energy of…

Part B What is the total energy of oscillation (ignoring damping)? Express your answer using two significant figures. ? Erotal J

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter16: Oscillations

Section: Chapter Questions

Problem 39PQ: In the short story The Pit and the Pendulum by 19th-century American horror writer Edgar Allen Poe,...

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In the short story The Pit and the Pendulum by 19th-century American horror writer Edgar Allen Poe, a man is tied to a table directly below a swinging pendulum that is slowly lowered toward him. The bob of the pendulum is a 1-ft steel scythe connected to a 30-ft brass rod. When the man first sees the pendulum, the pivot is roughly 1 ft above the scythe so that a 29-ft length of the brass rod oscillates above the pivot (Fig. P16.39A). The man escapes when the pivot is near the end of the brass rod (Fig. P16.39B). a. Model the pendulum as a particle of mass ms 5 2 kg attached to a rod of mass mr 5 160 kg. Find the pendulums center of mass and rotational inertia around an axis through its center of mass. (Check your answers by finding the center of mass and rotational inertia of just the brass rod.) b. What is the initial period of the pendulum? c. The man saves himself by smearing food on his ropes so that rats chew through them. He does so when he has no more than 12 cycles before the pendulum will make contact with him. How much time does it take the rats to chew through the ropes? FIGURE P16.39
Suppose you have a 0.750-kg object on a horizontal surface connected to a spring that has a force constant of 150 N/m. There is simple friction between the object and surface with a static coefficient of friction s=0.100 . (a) How far can the spring be stretched without moving the mass? (b) If the object is set into oscillation with an amplitude twice the distance found in part (a), and the kinetic coefficient of friction is k=0.0850 , what total distance does it travel before stopping? Assume it starts at the maximum amplitude.
3. An oscillating system completed 15 cycles of motion in 15 seconds.A. What is the frequency of the oscillation? What is the period?B. If the system was observed to have a position at 2.5cm after 10 secondswhat is the amplitude of oscillation? Assume that initially the system wasdisplaced from the equilibrium then released.C. Given the amplitude of oscillation calculated above, what will be the positionfunction if the system at time t=0second was observed at 0.10 cm?
A 320-kg wooden raft floats on a lake. When a 68-kg man stands on the raft, it sinks 3.5 cm deeper into the water. When he steps off, the raft oscillates for a while. (a) What is the frequency of oscillation? (b) What is the total energyof oscillation (ignoring damping)?
1. ••• Two blocks, each of mass m, are connected on a frictionlesshorizontal table by a spring of force constant k and equilibriumlength L. Find the maximum and minimum separation betweenthe two blocks in terms of their maximum speed, Vmax, relativeto the table. (The two blocks always move in opposite directionsas they oscillate back and forth about a fixed position.) Draw and Explain.
Problem 2: Special sections of roadway are sometimes paved with “rumble strips” to alert inattentive drivers. In a particular case the grooves are spaced L = 0.26 m apart and the depth of each groove is d = 0.35 cm. As you drive over this rumble strip, the tires of your car oscillate about their equilibrium positions with a frequency of f = 68.6Hz. Refer to the figure, which is not drawn to scale. Part (b) Find the vertical position of the tire, in centimeters, at the time t = 1.85 s. Part (c) With your tire oscillating at a frequency of f = 68.6 Hz and the distance between grooves L = 0.26 m, what is the speed of your car, in kilometers per hour?
(I) The springs of a 1700-kg car compress 5.0 mm when its 66-kg driver gets into the driver’s seat. If the car goes over a bump, what will be the frequency of oscillations? Ignore damping.
problem(1) The total energy of a simple harmonic oscillator with amplitude 9.00 cm is 1.5 J.a) What is the kinetic energy of the system when the position of the oscillator is 1.750 cm?b) What is the potential energy of the system at this position?c) What is the position for which the potential energy of the system is equal to its kinetic energy? (write detailed steps).
The centroidal radius of gyration Ky of an airplane is determined by suspending the airplane by two 12-ft-long cables as shown. The airplane is rotated through a small angle about the vertical through G and then released. Knowing that the observed period of oscillation is 3.3 s, determine the centroidal radius of gyration Ky.
1. An object oscillates with an angular frequency ω = 3 rad/s. At t = 0, the object is at x0 = 6.5 cm. It is moving with velocity vx0 = 14 cm/s in the positive x-direction. The position of the object can be described through the equation x(t) = A cos(ωt + φ). a. What is the the phase constant φ of the oscillation in radians? (Caution: If you are using the trig functions in the palette below, be careful to adjust the setting between degrees and radians as needed.) b. Calculate the value of the amplitude A of the oscillation in cm.
A 36-g object is hung vertically from a spring and set to oscillate. It takes 6.95seconds to complete 10 full oscillations. (a) What is the spring constant of thespring? (b) Instead, if a 9-g object is hung and set to oscillate, how long does it taketo complete 10 full oscillations? (c) How much is the spring stretched from itsnatural length if the 9-g ojbect strops oscillating?
A simple harmonic oscillator (SHO) with a mass of 47 kg has a total energy of 3394 J. Determine how fast the SHO is moving when its potential energy is 3 times its kinetic energy. Express your answer using appropriate mks units. v=