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QJEEM23Ph33af: JEE Main 2023 Physics - Class 11 JEEM23Ph33af Solution: A particle of mass 100 g is projected at time t = 0 with a…

A particle of mass 100 g is projected at time t = 0 with a speed 20 ms−1 at an angle 45∘ to the horizontal as given in the figure. The magnitude of the angular momentum of the particle about the starting point at time t = 2s is found to be K kg m2/s. The value of K is ___________.

(Take g = 10 ms−2)

JEE Main 2023 (Online) 29th January Evening Shift Physics - Rotational Motion Question 52 English

Step-by-Step Verified Solution

Horizontal displacement x=vcos⁡θt

=102t

So torque of weight about point of projection is

τ=mgx.(−k^)

dL→dt=mgx(−k^)

∫0L→dL→=0.1×10×102∫02tdt(−k^)

L→=−202k^

|L→|=202=800 kg m2/s

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