take m and k as ; m= 0.18 kg and k = 150 n/m The collar of mass m (given below) is moving along the smooth guideshown. Its velocity is 2 m/s upward at D. The ABC part of the guide is asemi-circle with a radius of 0.2 m. The spring has an unstretched lengthof 0.2 m and a stiffness k (given below).a) If the motion is in a vertical plane, determine the speed of the collar0.2 m0.3 mwhen it is at B.b) If the motion is in a vertical plane, draw the free-body diagram of thecollar at B and determine the normal force exerted on the collar bythe guide. (Hint: Use the n-t coordinates!)c) If the motion is in a horizontal plane, determine the speed of thecollar at C.Note: Take m and k as

Hi, we would use energy conservation to solve this question, since this question has multiple parts…

The collar of mass m (given below) is moving along the smooth guide shown. Its velocity is 2 m/s upward at D. The ABC part of the guide is a semi-circle with a radius of 0.2 m. The spring has an unstretched length of 0.2 m and a stiffness k (given below). a) If the motion is in a vertical plane, determine the speed of the collar when it is at B.

The collar of mass m (given below) is moving along the smooth guide shown. Its velocity is 2 m/s upward at D. The ABC part of the guide is a semi-circle with a radius of 0.2 m. The spring has an unstretched length of 0.2 m and a stiffness k (given below). a) If the motion is in a vertical plane, determine the speed of the collar when it is at B.

Classical Dynamics of Particles and Systems

5th Edition

ISBN:9780534408961

Author:Stephen T. Thornton, Jerry B. Marion

Publisher:Stephen T. Thornton, Jerry B. Marion

Chapter3: Oscillations

Section: Chapter Questions

Problem 3.12P

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Question

take m and k as ; m= 0.18 kg and k = 150 n/m

The collar of mass m (given below) is moving along the smooth guide
shown. Its velocity is 2 m/s upward at D. The ABC part of the guide is a
semi-circle with a radius of 0.2 m. The spring has an unstretched length
of 0.2 m and a stiffness k (given below).
a) If the motion is in a vertical plane, determine the speed of the collar
0.2 m
0.3 m
when it is at B.
b) If the motion is in a vertical plane, draw the free-body diagram of the
collar at B and determine the normal force exerted on the collar by
the guide. (Hint: Use the n-t coordinates!)
c) If the motion is in a horizontal plane, determine the speed of the
collar at C.
Note: Take m and k as

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