In column I information about the force(s) acting on a body are mentioned, while in column II information about motion of body. Match the entries of column II with the entries of column I.

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Solution

(A)When force is acting only on COM then the obect will be in only translatory motion because, torque on COM will be zero.
A->2
(B)Since net force is zero, But since forces are separated through some distance therefore, torque acting on the body will not be zero and it will do rotational motion.
B->1
(C)There will be no torque as well as no force therefore, No motion
C->3
(D)There will torque on COM as well as net force on COM therefore, object will be in translatory + rotatory motion.
D->1,2,4

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\begin{matrix} Colum I & Colum II i. & \to E = 0, \to B \neq 0 and initial velocity may & a. & Straight line be at any angle with \to B . ii. & \to E = 0, \to B = 0 and initial velocity may & b. & Parabola be at any angle with \to E . iii & \to E \neq 0, \to B \neq 0, \to E | | \to B and initial velocity is & c. & Circular ⊥ to both. d. & Helical path \end{matrix}

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