College Physics
1st Edition
ISBN: 9781938168000
Author: Paul Peter Urone, Roger Hinrichs
Publisher: OpenStax College
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Textbook Question
Chapter 16, Problem 15PE
A 0.500−kg mass suspended from a spring oscillates with a period of 1.50 s. How much mass must be added to the object to change the period to 2.00 s?
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A 0.75-kg mass oscillates according to the equation x(t)=0.85 cos(7.5t), where the position x(t) is measured in meters.
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Chapter 16 Solutions
College Physics
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- A 0.75-kg mass oscillates according to the equation x(t)=0.85 cos(7.5t), where the position x(t) is measured in meters. What is the period, in seconds, of this mass? At what point during the cycle is the mass moving at its maximum speed?arrow_forwardif the mass is 10Kg and the constants have the values k1=100N/m, k2= 200N/m, k3= 300N/m, k4=400 N/m. What is the period of oscillation of the system?arrow_forwardA 4 kg mass attached to a horizontal spring oscillates at a frequency of 3 Hz. At t =0 s, the mass is at x= 9 m and has vx =− 4 m/s. What is the maximum speed (in m/s)?arrow_forward
- A hole is drilled through the center of the earth. The gravitational force on a mass in that hole is mgr/R, where r is the distance of the mass from the earth’s center and R is the radius of the earth (6.4 x 10 6m).A mass dropped into the hole executes simple harmonic motion. Find the period of the motion. How does one-half this time compare with the time needed to fly in an air-’ plane halfway around the earth?arrow_forwardWhat mass would you need to suspend from a spring with a force constant of 20 N/m in order for the mass-spring system to oscillate with a period of 1.6 s on Earth, where the acceleration due to gravity is 9.80 m/s2, and on Mars, where the acceleration due to gravity is 3.70 m/s2?arrow_forwardAs we’ve seen, astronauts measure their mass by measuring the period of oscillation when sitting in a chair connected to a spring. The Body Mass Measurement Device on Skylab, a 1970s space station, had a spring constant of 606 N/m. The empty chair oscillated with a period of 0.901 s. What is the mass of an astronaut who oscillates with a period of 2.09 s when sitting in the chair?arrow_forward
- A 0.500-kg mass suspended from a spring oscillates with a period of 1.50 s. How much mass must be added to the object to change the period to 2.00 s?arrow_forwardConsider a spring with a spring constant of (12.6 + A) N/m. What mass would you need to hang on the spring to achieve a period of (0.500 + B/100) s? Give your answer in grams (g) with 3 significant figures. A=20 B=78arrow_forwardProblem 2: A 0.55-kg mass oscillates according to the equation x(t)=0.69 cos(9.5t), where the position x(t) is measured in meters. Part (a) What is the period, in seconds, of this mass? T= sin() cos() tan() 9 HOME cotan() asin() acos() E 4 5 atan() acotan() sinh() * 1| 2 3 +| - vol BACKSPACE DEL CLEAR cosh() tanh() cotanh() END ODegrees O Radians Submit Hint Feedback I give up! Part (b) At what point during the cycle is the mass moving at it's maximum speed? Part (c) What is the maximum acceleration of the mass, in meters per square second? Part (d) At what point in the cycle will it reach it's maximum acceleration?arrow_forward
- A 250 g mass on a vertical spring oscillates at a frequency of 1.0 Hz. If a 500 g mass were instead suspended from the same spring, what would be the frequency of oscillation?arrow_forwardThe displacement of an oscillating mass is given by x(t) = 30 cos( 2 t ). At time t = 2π s, what is the velocity of the mass in m/s?arrow_forwardA mass on a spring oscillates with a period of 2.2 s. (a) Where is the mass at t=8.3s if it starts from rest at x=5.0cm at t=0? (b) In what direction is the mass moving at t = 8.3 s? (c) What is the speed of the mass at t=8.3s?arrow_forward
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