LEASE SHOW STEP by STEP SOLUTION. WILL UPVOTE Oblique Central Impact Instead of a traditional cue, Rodrigo used a spring-powered cue in his game of billiards. When the constraints on the spring (k = 100 kN/m) are removed, the launching mechanism of the cue is triggered, and the 170-g cue ball A is launched forward. Ball A is separated from the plate when the spring becomes fully unstretched. Ball A is launched at an angle α with the horizontal, making it rebound off the cushion at an angle β. When the cue ball A hits the initially stationary 9-ball B (mB = 160 g), the latter goes snuggly into the lower left pocket. Determine the amount of compression (mm) on the spring so that the speed of ball B is exactly 5.345 m/s. The coefficient of restitution between ball A and the cushion is 0.6 while between balls A and B is 0.95. Neglect the effect of friction and the size of the balls.
PLEASE SHOW STEP by STEP SOLUTION. WILL UPVOTE
Oblique Central Impact
Instead of a traditional cue, Rodrigo used a spring-powered cue in his game of billiards. When the constraints on the spring (k = 100 kN/m) are removed, the launching mechanism of the cue is triggered, and the 170-g cue ball A is launched forward. Ball A is separated from the plate when the spring becomes fully unstretched. Ball A is launched at an angle α with the horizontal, making it rebound off the cushion at an angle β. When the cue ball A hits the initially stationary 9-ball B (mB = 160 g), the latter goes snuggly into the lower left pocket. Determine the amount of compression (mm) on the spring so that the speed of ball B is exactly 5.345 m/s. The coefficient of restitution between ball A and the cushion is 0.6 while between balls A and B is 0.95. Neglect the effect of friction and the size of the balls.
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