A rod of length ' l' is standing vertically on sm

Question

A rod of length ' l' is standing verticallyon smooth horizontal surface. It isdisturbed slightly so that lower end turnstowards step. Angular speed of rod justafter hitting step is (end of rod sticks tostep)

Arun · Accepted Answer

Suppose mass of rod be M, and at a certain time, it makes angle θ with the vertical.The only force acting on the rod is its own weight, which provides a torque about point O,τ=Mg 2L​sinθMoment of inertia of rod about I is:I C​= 3ML 2 ​During rotation, we have:-τ=Iα, and for point O:Mg 2L​sinθ= 3ML 2 ​α⇒α= 2L3gsinθ​Hence centre of mass has an acceleration:a CM​=Rα, where R= 2L​gives a CM​= 43​gsinθ.

Discuss with Askiitians Tutors> A rod of length ' l' is standing vertical...

A rod of length ' l' is standing verticallyon smooth horizontal surface. It isdisturbed slightly so that lower end turnstowards step. Angular speed of rod justafter hitting step is (end of rod sticks tostep)

darshil sojitra , 5 Years ago

Arun

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Discuss with Askiitians Tutors> A rod of length ' l' is standing vertical...

A rod of length ' l' is standing verticallyon smooth horizontal surface. It isdisturbed slightly so that lower end turnstowards step. Angular speed of rod justafter hitting step is (end of rod sticks tostep)

darshil sojitra , 5 Years ago

Arun

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