Infinite Pulley Mass System | Normal Force on Sphere | NLM | Lvl 3 | SBT

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Together, we will dissect a carefully curated selection of challenging problems that have appeared in recent JEE examinations, allowing you to gain a thorough understanding of the Laws of Physics and how they are applied in real-world scenarios.

Q1. In the figure all pulleys (P1, P2, P3 …….) are massless and all the blocks (1,2,3 …..) are identical, each having mass m. The system
consist of infinite number of pulleys and blocks. Strings are light and inextensible and horizontal surfaces are smooth. Pulley P1 is moved to
left with a constant acceleration of a0. Find the acceleration of block1. Assume the strings to remain horizontal

Q2 : A smooth spherical ball of mass M = 2 kg is
resting on two identical blocks A and B as shown
in the figure. The blocks are moved apart with
same horizontal velocity V = 1 m/s in opposite
directions (see figure)

(a) Find the normal force applied by each of the
blocks on the sphere at the instant separation
between the blocks is a = 2R; R = 1.0 m
being the radius of the ball.
(b) How much force must be applied on each of
the two blocks (when a = 2R) so that they do
not have any acceleration. Assume that the he
horizontal surface is smooth



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