JEE 2025 | Mechanics Problems From Pathfinder & AITS
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 Published On Sep 29, 2024

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Pathfinder | CYU 3 | Methods of Impulse And Momentum
A disc of mass M = 2.0 kg is connected with two identical discs each of mass m = 1.0 kg with the help of two light inextensible threads each of lengths l = 50 cm. Initially the system rests on a frictionless horizontal floor with centres of the discs in a straight line and the threads straight. Now the middle disc is projected along the floor with a velocity u = 2 m/s perpendicular to the threads. Find tensile forces in the threads when the end discs are about to collide.


Pathfinder | CYU 3 | Methods of Work And Energy

A dumbbell constructed by affixing small identical balls each of mass m at the ends of a light rod of length l stands vertically on a frictionless floor touching a frictionless wall as shown in the figure. If the lower ball is gently pushed away from the wall, the dumbbell begins to slide. Denoting acceleration due to gravity by g, find expression for speed of the lower ball, when the upper ball is leaving the wall.

A plank of mass M is placed on a smooth horizontal surface. Two light identical springs each of stiffness K are rigidly connected to struts at the end of the plank as shown in the figure. When the springs are in their unextended position the distance between their free ends is 30. A block of mass m is placed on the plank and pressed against one of the springs so that it is compressed to l. To keep the block at rest it is connected to the strut by means of a light string. Initially the system is at rest. Now the string is burnt.














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