A rod of mass m and length L is hinged at its top end. If the rod is in equilibrium making an angle of 30° with the vertical when a horizontal force F is applied as shown in figure, then the value of F is:
A rod of mass m and length L is hinged at its top end. If the rod is in equilibrium making an angle of 30° with the vertical when a horizontal force F is applied as shown in figure, then the value of F is:
Option 1 -
mg/2
Option 2 -
2mg
Option 3 -
mg/2√3
Option 4 -
√3 mg
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1 Answer
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Correct Option - 3
Detailed Solution:Taking torque at top pt, mg sin30°×L / 2 = F cos30°×L ⇒ F = mg / 2√3
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T1 = m (g + a)
T2 = m (g - a)
Apparent weight = mg – ma
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