For lowermost B net force towards the center is centripetal force. Tension TB acts towards the center of the circular path whereas weight mg acts away from it. Hence, TB mg = mvB2 – r Putting, vB = √5rg TB mg = m5gr – r or, TB = 6mg in critical condition of vertical circular motion of a body tied to a string velocities at topmost and lowermost be and respectively and tensions in the strings be 0 and 6mg √(rg) √(5rg) respectively. General Condition for Slagging of String in Vertical Circular Motion For the body performing vertical circular motion tied to a string, slagging of string occurs in the upper half of the vertical circle. If at any instant string makes angle with vertical then applying net force θ towards center is equal to centripetal force, we have mgCos θ θ T v θ mg T + mgCos = mv2 θ
For lowermost B net force towards the center is centripetal force. Tension TB acts towards the center of the circular path whereas weight mg acts away from it. Hence, TB – mg = mvB2 r Putting, vB = √5rg TB – mg = m5gr r or, TB = 6mg in critical condition of vertical circular motion of a body tied to a string velocities at topmost and lowermost be √(rg) and √(5rg) respectively and tensions in the strings be 0 and 6mg respectively. General Condition for Slagging of String in Vertical Circular Motion For the body performing vertical circular motion tied to a string, slagging of string occurs in the upper half of the vertical circle. If at any instant string makes angle θ with vertical then applying net force towards center is equal to centripetal force, we have mgCos θ θ θ T v mg T + mgCos θ = mv2
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