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Q.

Match the column-I to value of Tension in column-Il assuming mass of particle equal to mExtreme position in simple pendulumConical pendulumCart is accelerated such that particle remains at rest as shown w.r.t. cart.Cart is accelerating freely on the incline. Particle remains at rest w.r.t. cart as shown.

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a

a→s, b→p, c→s, d→r

b

a→r, b→s, c→q, d→p

c

a→q, b→p, c→r, d→s

d

a→r, b→q, c→s, d→p

answer is D.

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Detailed Solution

(a) As velocity = 0    ⇒No radial acceleration   ⇒ T=mgcos⁡53∘=3mg5(b) Motion in horizontal plane   ⇒no acceleration in vertical direction  ⇒Tcos⁡37∘=mg⇒ T=mg×54(c) Acceleration of particle w.r.t. cart is zero  ⇒Tcos⁡53∘=mg⇒ T=5mg3(d)  T=mgcos⁡37∘   ⇒ T=4mg5
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