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JEE 2020 Revision Quiz: System of Particles and Rotational Motion - 2

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Question 1

A wheel of moment of inertia 2 Kg m2 is rotating about an axis passing through centre and perpendicular to its plane at a speed 60 radii& Due to friction, it comes to rest in 5 minutes. The angular momentum of the wheel three minutes before it stops rotating is

Question 2

Persons A and B are standing on the opposite sides of a 3.5 m wide water stream which they wish to cross. Each one of them has a rigid wooden plank whose mass can be neglected. However, each plank is only slightly longer than 3m. So they decide to arrange them together as shown in the figure schematically. With B (mass 17 kg) standing, the maximum mass of A, who can walk over the plank is close to,

Question 3

A disc of moment of inertia is rotating in horizontal plane allow an axis passing through a centre and perpendicular to its plane w ith constant angular speed. Another disc of moment of inertia having zero angular speed is placed coaxially on a rotating disc. Now both the discs are rotating with constant angular speed. The energy lost by the initial rotating disc is

Question 4

A solid sphere of mass 2 kg is rolling on a frictionless horizontal surface with velocity 6 m/s. It collides on the free end of an ideal spring whose other end is fixed. The maximum compression produced in the spring will be (Force constant of the spring 36 N/m).

Question 5

In a physical balance working on the principle of moments, when 5 mg weight is placed on the left pan, the beam becomes horizontal. Both the empty pans of the balance are of equal mass. Which of the following statements is correct?
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Aug 4JEE & BITSAT