SaraNextGen Study App [2022-23]
Last Updated On 23-10-2022 - By Sara

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 :-

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



Next Question :

Two men ‘ ’ and ‘ ’ are standing on a plank. ‘ ’ is at the middle of the plank and  is at the left end of the plank. Lower surface of the plank is smooth. System is initially at rest and masses are as shown in fig. ‘ ’  and ‘ ’ start moving such that the position of remains fixed with respect to ground, then ‘ ’ meets  Then the point where meets is located at

a)

The middle of the plank

b)

30 cm from the left end of the plank

c)

The right end of the plank

d)

None of these


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