Solve Prob. 16.71, assuming that the bowler projects the ball with the same forward velocity but with a backspin of 18 rad/s.
(a)
Find time
Answer to Problem 16.72P
Time
Explanation of Solution
Given information:
Mass
Radius
Initial velocity
Friction coefficient
Angular velocity
Concept used:
Following formula is used:
1. Sum of horizontal forces,
2. Sum of moments about mass center,
Calculation:
Friction force,
Sum of horizontal forces,
Sum of moments about mass center,
Velocity equation,
Angular velocity equation,
From above both equation,
Conclusion:
Thus we get,
Time
(b)
Find speed of ball at that time.
Answer to Problem 16.72P
Speed
Explanation of Solution
Given information:
Mass
Radius
Initial velocity
Friction coefficient
Angular velocity
Concept used:
Following formula is used:
1. Sum of horizontal forces,
2. Sum of moments about mass center,
Calculation:
Friction force,
Sum of horizontal forces,
Sum of moments about mass center,
Velocity equation,
Angular velocity equation,
From above both equation,
Speed
Conclusion:
Thus we get,
Speed
(c)
Find distance travelled by ball.
Answer to Problem 16.72P
Distance travelled
Explanation of Solution
Given information:
Mass
Radius
Initial velocity
Friction coefficient
Angular velocity
Concept used:
Following formula is used:
1. Sum of horizontal forces,
2. Sum of moments about mass center,
Calculation:
Friction force,
Sum of horizontal forces,
Sum of moments about mass center,
Velocity equation,
Angular velocity equation,
From above both equation,
Distance travelled,
Conclusion:
Thus we get,
Distance travelled
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Chapter 16 Solutions
Vector Mechanics For Engineers
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