Sphere is placed between two smooth wedges, and wedges are given velocities as shown in the diagram. Velocity of centre of sphere in vertica direction will be 10 m/s 532 (1) 10 m/s (3) 15 m/s (2) 5 m/s (4) 20 m/s.
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Velocity of the center of the sphere = 20m/s * slope of the wedge.
Explanation:
Given: Sphere is placed between two smooth wedges, and wedges are given velocities as shown.
Find: Velocity of the center of sphere in vertical direction.
Solution:
We can observe that the wedge is a tangent to the sphere. The tangent touches the sphere at a height R/5 where R is the radius. Using this information, we can solve to find the slope of the wedge.
The velocity of the center of the sphere will be 20m/s * slope of the wedge.
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