A mass is placed on a frictionless, horizontal table. A spring (k=108 N/m) which can be stretched or compressed, is placed on the table. A 5 kg mass is attached to one end of the spring, the other end is anchored to the wall. The equilibrium position is marked at zero. A student moves the mass out to x= 5 cm and releases it from rest. The mass oscillates in SHM. (a) Determine the equations of motion in terms of the amplitude 'A', the angular velocity 'w', and the time 't'. Use the initial conditions to find the value of & in the equations. Hint: Use the equation editor (orange button in the answer box) and find w in the greek letters. DO NOT USE numerical values for A and w for part (a). For example, a equation could be x(t)= Asin (wt). x(t)= v(t)= a (t)= m m/s m/s² (b) Calculate for this spring-mass system. @= rad s (c) Find the position, velocity, and acceleration of the mass at time t=3.2 s. Use w up to 4 significant figures in the calculation. Note: Should you set your calculator in degree or radian mode? Position: x = Velocity: v= Acceleration: a = m m S m $2

A mass is placed on a frictionless, horizontal table. A spring (k=108 N/m) which can be stretched or compressed, is placed on the table. A 5 kg mass is attached to one end of the spring, the other end is anchored to the wall. The equilibrium position is marked at zero. A student moves the mass out to x= 5 cm and releases it from rest. The mass oscillates in SHM. (a) Determine the equations of motion in terms of the amplitude 'A', the angular velocity 'w', and the time 't'. Use the initial conditions to find the value of & in the equations. Hint: Use the equation editor (orange button in the answer box) and find w in the greek letters. DO NOT USE numerical values for A and w for part (a). For example, a equation could be x(t)= Asin (wt). x(t)= v(t)= a (t)= m m/s m/s² (b) Calculate for this spring-mass system. @= rad s (c) Find the position, velocity, and acceleration of the mass at time t=3.2 s. Use w up to 4 significant figures in the calculation. Note: Should you set your calculator in degree or radian mode? Position: x = Velocity: v= Acceleration: a = m m S m $2

University Physics Volume 1

18th Edition

ISBN:9781938168277

Author:William Moebs, Samuel J. Ling, Jeff Sanny

Publisher:William Moebs, Samuel J. Ling, Jeff Sanny

Chapter15: Oscillations

Section: Chapter Questions

Problem 60AP: A mass is placed on a frictionless, horizontal table. A spring (k=100N/m) , which can be stretched...

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