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Q.3

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Physics for Scientists and Engineers: A Strategic Approach with Modern Physics
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Short Answer

is a bird’s-eye view of particles on strings moving in horizontal circles on a tabletop. All are moving at the same speed. Rank in order, from largest to smallest, the tensions . Give your answer in the formand explain your ranking.

The tensions are ranked in the order:

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Step by Step Solution

Step 1: Given information

The tensions at mass with velocity and radiusof circular motion

Centripetal force equal to tension acting on the string.

The free-body diagram shows that the downward gravitational force is balanced by an upward component of the tension, leaving the radial component of the tension to cause the centripetal acceleration. Newton’s second law is

The above tension equation is applied for the given cases of free body diagram of FIGURE Q8.3

Step 2: Explanation

case (a): The tension at mass m with velocity v and radius of circular motion gives

case (b): The tension at mass m with velocity v and radius of circular motion gives

case (c): The tension at mass m with velocity v and radius of circular motion gives

case (d): The tension at mass m with velocity v and radius of circular motion gives

The Tensions of each string for different cases are ranked in the order

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