A small block of mass 100 g is tied to a spring of spring constant 7.5 N/m and length 20 cm. The other end of spring is fixed at a particular point A. If the block moves in a circular path on a smooth horizontal surface with constant angular velocity 5 rad/s about point A, then tension in the spring is –
(1) 0.75 N (2) 1.5 N (3) 0.25 N (4) 0.50 N
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Verified answer
Let extension in length of spring be x.
Radius of circle r = 0.2 + x Kx = mω²r
Tension in spring = kx = 7.5 x 1/10 = 0.75 N
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