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A sphere of radius is in contact with a wedge. The point of contact is from the ground as shown in figure. Wedge is moving with velocity towards left then the velocity of the sphere at this instant will be
Assume for the moment that R= 5(it doesn't matter for the slope), so the circle is given by x^2+y^2=25 Because height= R/5 We are looking for the slope of the tangent line through the point with y=-4 which is (-3,-4) Now the slope is given by = -x/y= -3/4 =) Now, given a velocity of 20m/s to the left We know that the sphere will have a velocity of 3/4× 20m/s =) 15m/s
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