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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 | SaraNextGen Top Answer

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
127 votes
Answer Key / Explanation : (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

127 votes


127