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Grade: 10

                        

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

3 years ago

Answers : (1)

Arun
24737 Points
							
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
 
Thanks and regards
3 months ago
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