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A uniform rod of mass  and length  is placed over a smooth horizontal surface along the -axis and is at rest as shown in Figure. An impulsive force  is applied for a small time  along -direction at point . The -coordinate of end  of the rod when the rod become parallel to -axis for the first time is [initially, the coordinate of centre of mass of the rod is

a)

b)

c)

d)

s


Question ID - 100226 | Top Ranker Answer | SaraNextGen

A uniform rod of mass  and length  is placed over a smooth horizontal surface along the -axis and is at rest as shown in Figure. An impulsive force  is applied for a small time  along -direction at point . The -coordinate of end  of the rod when the rod become parallel to -axis for the first time is [initially, the coordinate of centre of mass of the rod is

a)

b)

c)

d)

s

1 Answer - 5876 Votes

3537

Answer Key : (d) -

(d)

As torque =change in angular momentum

(linear momentum)    …(i)

and (angular momentum)   …(ii)

Dividing Eqs. (i) and (ii), we get

Using

Displacement of CM is

and

Dividing, we get

Coordination of  will be



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