One fourth length of a uniform rod of length $$2l$$ and mass m is placed on a horizontal table and the rod is held horizontally. The rod is released from rest. The normal reaction on the rod as soon as the rod is released will be

Question

Infinity Learn · Accepted Answer

The torque applied by gravity about the edge $$O=$$τ$$=mg(3$$ℓ$$/4)$$⇒ $$I0$$α$$=34mg$$    ......(a) where $$I0=Ig+m3$$ℓ$$42=m$$ℓ$$212+916m$$ℓ$$2=m$$ℓ$$2413+94I0=31m$$ℓ$$248$$   ......(b) (a) and (b) yield, α$$=3mg$$ℓ$$/431m$$ℓ$$2/48$$⇒ α$$=144g124$$ℓ$$=36g31$$ℓ   ......(c)Newton$$'s second law of motion:mg−$$N=ma$$   .....$$(d)Kinematics$$: $$a=3$$ℓ$$4$$α$$=36g31Using$$ $$(d) and (e) we $$obtainN=mg$$−$$m27g31$$⇒$$N=4mg31$$

One fourth length of a uniform rod of length 2l and mass m is placed on a horizontal table and the rod is held horizontally. The rod is released from rest. The normal reaction on the rod as soon as the rod is released will be

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