Ch 14 Supplemental [ Edit ] Overview Summary View Diagnostics View Print View with Answers Ch 14 Supplemental Due: 6:59pm on Friday, April 28, 2017 To understand how points are awarded, read the Grading Policy for this assignment. Exercise 14.7 Description: A ## kg ball is attached to an unknown spring and allowed to oscillate. The figure shows a graph of the ball's position x as a function of time t. (a) For this motion, what is the period? (b) What is the frequency? (c) What is the angular... A 2.42 kg ball is attached to an unknown spring and allowed to oscillate. The figure shows a graph of the ball's position x as a function of time t. For this motion, what is the period? T = 0.800 s What is the frequency? f = 1.25 Hz What is the angular frequency? https://session.masteringphysics.com/myct/assignmentprintview?assignmentid=5269905 1/10
ω = 7.85 rad/s Part D What is the amplitude? A = 3.00 cm Part E What is the force constant of the spring? k = = 149 N/m Exercise 14.19 Description: On a frictionless, horizontal air track, a glider oscillates at the end of an ideal spring of force constant k. The graph in the figure shows the acceleration of the glider as a function of time. (a) Find the mass of the glider. (b) Find the... On a frictionless, horizontal air track, a glider oscillates at the end of an ideal spring of force constant 2.10 N/cm. The graph in the figure shows the acceleration of the glider as a function of time. Find the mass of the glider. https://session.masteringphysics.com/myct/assignmentprintview?assignmentid=5269905 2/10
m = = 0.213 kg Find the maximum displacement of the glider from the equilibrium point. A = 1.22 cm Find the maximum force the spring exerts on the glider. F max = = 2.55 N Exercise 14.26 Description: A small block is attached to an ideal spring and is moving in SHM on a horizontal, frictionless surface. The amplitude of the motion is A and the period is T. (a) What is the acceleration of the block when x= x? (b) What is the speed of the block... A small block is attached to an ideal spring and is moving in SHM on a horizontal, frictionless surface. The amplitude of the motion is 0.210 m and the period is 3.38 s. What is the acceleration of the block when x = 0.160 m? Express your answer with the appropriate units. a x = = 0.553 What is the speed of the block when x = 0.160 m? Express your answer with the appropriate units. https://session.masteringphysics.com/myct/assignmentprintview?assignmentid=5269905 3/10
v x = = 0.253 Exercise 14.54 Description: We want to support a thin hoop by a horizontal nail and have the hoop make one complete small angle oscillation each 2.0 s. (a) What must the hoop's radius be? We want to support a thin hoop by a horizontal nail and have the hoop make one complete small angle oscillation each 2.0 s. What must the hoop's radius be? R = 0.496 m Exercise 14.55 Description: A 1.80 kg connecting rod from a car engine is pivoted about a horizontal knife edge as shown in the figure. The center of gravity of the rod was located by balancing and is 0.200 m from the pivot. When it is set into small amplitude oscillation, the... A 1.80 kg connecting rod from a car engine is pivoted about a horizontal knife edge as shown in the figure. The center of gravity of the rod was located by balancing and is 0.200 m from the pivot. When it is set into small amplitude oscillation, the rod makes 100 complete swings in 120 s. Calculate the moment of inertia of the rod about the rotation axis through the pivot. I = 0.129 kg m 2 https://session.masteringphysics.com/myct/assignmentprintview?assignmentid=5269905 4/10
Exercise 14.30 Description: A cheerleader waves her pom pom in SHM with an amplitude of ## cm and a frequency of ## Hz. (a) Find the maximum magnitude of the acceleration. (b) Find the maximum magnitude of the velocity. (c) Find the acceleration when the pom pom's coordinate... A cheerleader waves her pom pom in SHM with an amplitude of 17.6 cm and a frequency of 0.875 Hz. Find the maximum magnitude of the acceleration. a max = = 5.32 m/s 2 Find the maximum magnitude of the velocity. v max = = 0.968 m/s Find the acceleration when the pom pom's coordinate is x = 8.80 cm. a = = 2.66 m/s 2 Part D Find the speed when the pom pom's coordinate is x = 8.80 cm. v = = 0.838 m/s Part E Find the time required to move from the equilibrium position directly to a point a distance 11.3 cm away. t = = 0.127 s https://session.masteringphysics.com/myct/assignmentprintview?assignmentid=5269905 5/10
Exercise 14.28 Description: A harmonic oscillator has angular frequency omega and amplitude A. (a) What is the magnitude of the displacement when the elastic potential energy is equal to the kinetic energy? (Assume that U = 0 at equilibrium.)... (b) What is the magnitude of... A harmonic oscillator has angular frequency ω and amplitude A. What is the magnitude of the displacement when the elastic potential energy is equal to the kinetic energy? (Assume that U = 0 at equilibrium.) Express your answer in terms of the variables ω and A. x = What is the magnitude of the velocity when the elastic potential energy is equal to the kinetic energy? (Assume that U = 0 at equilibrium.) Express your answer in terms of the variables ω and A. v x = How often does this occur in each cycle? What is the time between occurrences? 3594 Character(s) remaining This happens four times each cycle, corresponding the four possible combinations of + and in the results of parts A and B. The time between the occurrences is onefourth of a period or T/4 = pi/(2*omega). Part D At an instant when the displacement is equal to A/2, what fraction of the total energy of the system is kinetic? K E = 0.750 https://session.masteringphysics.com/myct/assignmentprintview?assignmentid=5269905 6/10
Part E At an instant when the displacement is equal to A/2, what fraction of the total energy of the system is potential? U E = 0.250 Exercise 14.29 Description: A 0.500 kg glider, attached to the end of an ideal spring with force constant k=450 N/m, undergoes simple harmonic motion with an amplitude 0.040 m. (a) Compute the maximum speed of the glider. (b) Compute the speed of the glider when it is at x=... A 0.500 kg glider, attached to the end of an ideal spring with force constant k = 450 N/m, undergoes simple harmonic motion with an amplitude 0.040 m. Compute the maximum speed of the glider. Express your answer using two significant figures. v max = 1.2 m/s Compute the speed of the glider when it is at x = 0.015m. Express your answer using two significant figures. v = 1.1 m/s Compute the magnitude of the maximum acceleration of the glider. Express your answer using two significant figures. a max = 36 m/s 2 Part D Compute the acceleration of the glider at x = 0.015 m. https://session.masteringphysics.com/myct/assignmentprintview?assignmentid=5269905 7/10
Express your answer using two significant figures. a x = 14 m/s 2 Part E Compute the total mechanical energy of the glider at any point in its motion. Express your answer using two significant figures. E = 0.36 J Problem 14.89 Description: A mass m is attached to a spring of force constant ## N/m and allowed to oscillate. The figure shows a graph of its velocity v_x as a function of time t. (a) Find the period. (b) Find the frequency and the angular frequency of this motion. (c)... A mass m is attached to a spring of force constant 80.0 N/m and allowed to oscillate. The figure shows a graph of its velocity as a function of time t. v x Find the period. T = 1.60 s Find the frequency and the angular frequency of this motion. Please enter your answers in the order frequency, angular frequency separated with comma. f, ω = 0.625, 3.93 Hz, rad/s https://session.masteringphysics.com/myct/assignmentprintview?assignmentid=5269905 8/10
What is the amplitude (in cm)? A = 5.09 cm Part D At what times does the mass reach the position x = ±A in the interval between t = 0 s and t = 1.8 s including the endpoints? If there is more than one value, please enter your answers in ascending order separated with commas. t = 0.400, 1.20 s Part E Find the maximum acceleration of the mass. a max = 78.5 cm/s 2 Part F Find the times at which the maximum acceleration occurs in the interval between t = 0 s and t = 1.8 s including the endpoints. If there is more than one value, please enter your answers in ascending order separated with commas. t = 0.400, 1.20 s Part G What is the mass m? m = = 5.19 kg Exercise 14.36 https://session.masteringphysics.com/myct/assignmentprintview?assignmentid=5269905 9/10
Description: A mass is oscillating with amplitude A at the end of a spring. (a) How far (in terms of A) is this mass from the equilibrium position of the spring when the elastic potential energy equals the kinetic energy? A mass is oscillating with amplitude A at the end of a spring. How far (in terms of A) is this mass from the equilibrium position of the spring when the elastic potential energy equals the kinetic energy? d = 0.707 A Copyright 2017 Pearson. All rights reserved. Legal Notice Privacy Policy Permissions https://session.masteringphysics.com/myct/assignmentprintview?assignmentid=5269905 10/10