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A ball is released from rest at the point (0, h) and slides down a y frictionless track. From conservation of energy the ball's speed h on the track is given by2g(h - y), where y the at any point b height. Recall that at in any short interval the time it takes to travel a distance ds is dt ds/v. C a) Find the time it takes to slide from the origin along the path 0. (the path is a straight line y a to xf h,yf h x) h x b) Check your solution by applying second Newton's law to a frictionless ramp (Physics 231) c) Find the time to slide from the origin along the path b h sin p, y h cos p where 0

A ball is released from rest at the point (0, h) and slides down a y frictionless track. From conservation of energy the ball's speed h on the track is given by2g(h - y), where y the at any point b height. Recall that at in any short interval the time it takes to travel a distance ds is dt ds/v. C a) Find the time it takes to slide from the origin along the path 0. (the path is a straight line y a to xf h,yf h x) h x b) Check your solution by applying second Newton's law to a frictionless ramp (Physics 231) c) Find the time to slide from the origin along the path b h sin p, y h cos p where 0

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A ball is released from rest at the point (0, h) and slides down a y frictionless track. From conservation of energy the ball's speed h on the track is given by2g(h - y), where y the at any point b height. Recall that at in any short interval the time it takes to travel a distance ds is dt ds/v. C a) Find the time it takes to slide from the origin along the path 0. (the path is a straight line y a to xf h,yf h x) h x b) Check your solution by applying second Newton's law to a frictionless ramp (Physics 231) c) Find the time to slide from the origin along the path b h sin p, y h cos p where 0 <p (part of a circular shape with x /2) d) Find the time to slide from the origin along the path c (part ofa circular shape with x h(1 - cos p), y h(1 - sin) where 0 p T/2) =
Transcribed Image Text:A ball is released from rest at the point (0, h) and slides down a y frictionless track. From conservation of energy the ball's speed h on the track is given by2g(h - y), where y the at any point b height. Recall that at in any short interval the time it takes to travel a distance ds is dt ds/v. C a) Find the time it takes to slide from the origin along the path 0. (the path is a straight line y a to xf h,yf h x) h x b) Check your solution by applying second Newton's law to a frictionless ramp (Physics 231) c) Find the time to slide from the origin along the path b h sin p, y h cos p where 0 <p (part of a circular shape with x /2) d) Find the time to slide from the origin along the path c (part ofa circular shape with x h(1 - cos p), y h(1 - sin) where 0 p T/2) =
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