Consider a body of mass 1.0 kg at rest at the origin at time t=0. A force F =( t , i + , j ) is applied on the body, where =1.0 Ns^ -1 and =1.0 N. The torque acting on the body about the origin at time t=1.0 s is . Which of the following statements is (are) true?

JEE Advanced 2018 Physics question

Consider a body of mass 1.0 at rest at the origin at time . A force is applied on the body, where and . The torque acting on the body about the origin at time is . Which of the following statements is (are) true?

(A)Correct
(B)The torque is in the direction of the unit vector
(C)The velocity of the body at is Correct
(D)The magnitude of displacement of the body at is

Answer: (A),(C)

Solution

With kg: , . Integrating from rest at the origin: , ; , . At s: : (C) true. , so \vec$

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Question ID VK-026701