This rope has a uniform linear density and a length of L. the hanging part has length x0 when time (t) = 0. Point P is the bottom of the rope with respect to the edge of the table whose postion is time t by x(t). The rope is initially at rest and will slide down when released (ingore friction and rope bending). The rope will also never reach the ground. 1. I need the net force acting on the rope in terms of p,x,g. 2. The speed of the rope as a function of x in terms of L,g,x. Also the Maximum speed of the rope while it touches the table 3. Get x(t) in terms of L,g,x0 and using the initial conditions to find uninown constants. Then use your result to get acceleration and velocity. x = 0 Table x = x(t)
This rope has a uniform linear density and a length of L. the hanging part has length x0 when time (t) = 0. Point P is the bottom of the rope with respect to the edge of the table whose postion is time t by x(t). The rope is initially at rest and will slide down when released (ingore friction and rope bending). The rope will also never reach the ground. 1. I need the net force acting on the rope in terms of p,x,g. 2. The speed of the rope as a function of x in terms of L,g,x. Also the Maximum speed of the rope while it touches the table 3. Get x(t) in terms of L,g,x0 and using the initial conditions to find uninown constants. Then use your result to get acceleration and velocity. x = 0 Table x = x(t)
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