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A particle suspended from a fixed point by a light inextensible thread of length l, is projected horizontally from its lowest position with velocity 7gl2. The thread will slack after swinging through an angle α, such that α equals

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Important Questions on Circular Motion

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A particle is kept at rest at the top of a sphere of diameter 42 cm. When disturbed slightly, it slides down. At what height h from the bottom, will the particle leave the sphere?
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A small block slides with velocity 0.5gr on a horizontal frictionless surface, as shown in the figure. The block leaves the surface at point C. The angle θ in the figure is:

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