Part A A 350-kg wooden raft floats on a lake. When a 74-kg man stands on the raft, it sinks 3.4 cm deeper into the water. When he steps off, the raft oscillates for a while. What is the frequency of oscillation? Express your answer using two significant figures. f= Ο ΑΣΦ Submit Request Answer Part B ? What is the total energy of oscillation (ignoring damping)? Express your answer using two significant figures. ΟΙ ΑΣΦ Etotal = ? Hz J

Part A A 350-kg wooden raft floats on a lake. When a 74-kg man stands on the raft, it sinks 3.4 cm deeper into the water. When he steps off, the raft oscillates for a while. What is the frequency of oscillation? Express your answer using two significant figures. f= Ο ΑΣΦ Submit Request Answer Part B ? What is the total energy of oscillation (ignoring damping)? Express your answer using two significant figures. ΟΙ ΑΣΦ Etotal = ? Hz J

Classical Dynamics of Particles and Systems

5th Edition

ISBN:9780534408961

Author:Stephen T. Thornton, Jerry B. Marion

Publisher:Stephen T. Thornton, Jerry B. Marion

Chapter2: Newtonian Mechanics-single Particle

Section: Chapter Questions

Problem 2.52P: A particle of mass m moving in one dimension has potential energy U(x) = U0[2(x/a)2 (x/a)4], where...

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A particle of mass m moving in one dimension has potential energy U(x) = U0[2(x/a)2 (x/a)4], where U0 and a are positive constants. (a) Find the force F(x), which acts on the particle. (b) Sketch U(x). Find the positions of stable and unstable equilibrium. (c) What is the angular frequency of oscillations about the point of stable equilibrium? (d) What is the minimum speed the particle must have at the origin to escape to infinity? (e) At t = 0 the particle is at the origin and its velocity is positive and equal in magnitude to the escape speed of part (d). Find x(t) and sketch the result.
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.
Assume that a pendulum used to drive a grandfather clock has a length L0=1.00 m and a mass M at temperature T=20.00 °C. It can be modeled as a physical pendulum as a rod oscillating around one end. By what percentage will the period change if the temperature increases by 10°C? Assume the length of the rod changes linearly with temperature, where L=L0(1+T) and the rod is made of (=18106C1) .
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