A plumb bob is hanging by a thread from a bar attached to a rotating vertical shaft. The bob is linked to the shaft by a horizontal spring. The thread is made vertical by rotating the bob, spring and shaft at the appropriate speed. PART A-Analysing forces Draw the free-body diagram for the bob, and write down the force-acceleration equations in the radial (r) and vertical (z) directions when the system rotates. Side view when the bob is not rotating. The spring isn't stretched. R Side view when the bob is rotating with a radius of rotation R. 1. What is the tension T in the string equal to in terms of (possibly) m, v, R, and g? 2. What is the force F, from the spring equal to in terms of (possibly) m, v, R, and g? 1

A plumb bob is hanging by a thread from a bar attached to a rotating vertical shaft. The bob is linked to the shaft by a horizontal spring. The thread is made vertical by rotating the bob, spring and shaft at the appropriate speed. PART A-Analysing forces Draw the free-body diagram for the bob, and write down the force-acceleration equations in the radial (r) and vertical (z) directions when the system rotates. Side view when the bob is not rotating. The spring isn't stretched. R Side view when the bob is rotating with a radius of rotation R. 1. What is the tension T in the string equal to in terms of (possibly) m, v, R, and g? 2. What is the force F, from the spring equal to in terms of (possibly) m, v, R, and g? 1

University Physics Volume 1

18th Edition

ISBN:9781938168277

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

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

Chapter5: Newton's Law Of Motion

Section: Chapter Questions

Problem 93CP: If two tugboats pull on a disabled vessel, as shown here in an overhead view, the disabled vessel...

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