INPHO 2020 ROTATIONAL MECHANICS PROBLEM

A massless inextensible string of length D lies with one end fixed, while the other is attached to one end of a uniform rod of length L. The system is initially at rest with the rod aligned along the x-axis and the string stretched to its natural length at an angle with the negative y-axis θ (cos θ = 1 / 3 ). At a certain instant, a bullet of the same mass m as the rod and negligible dimensions is fired horizontally along the positive y-direction. The bullet hits the rod at its right end with velocity v o and gets lodged in it, the impact being nearly instantaneous. What is the tension ( T) in the string immediately after the impact? Assume the string doesn’t break. 00:00 PREPERATION 09:00 EXECUTING MOMENTUM CONSERVATION 15:20 ANGULAR MOMENTUM CONSERVATION 26:44 POINT P on ROD 34:50 F=Ma #jeeadvanced #jeemains #jee #physicslover #mathslover #physics #rigidbodydynamics #rotation #jeeadvanced2025 #calculus #classicalmechanics #pathfindersolutions #pathfinderinstitute #harvard #calculus #inpho #sbt #jeeadvanced2025 #electrostatics #integration #partialfraction #definiteintegrals #DAVIDMORIN #physicscourse #jaankalda #siddhantpatel #electromagnetic_induction #electrodynamics #electromagnetism #electromagneticinduction #lenzlaw #inductors #magneticflux #superpositionprinciple #irodov #electrostatics #Optics #rayoptics Demo lecture for dropper and 12th👉 https://youtu.be/Juv1SobKfWg?si=_IxjkTeZQZQJJl6U Live class recording for dropper and 12th 👉 PROJECTILE MOTION ONE SHOT (JEE ADVANCED) https://youtu.be/0qQdXNiFx08