Title AITS-2122-PT-I-JEEM-TD-OFFLINE.pdf ✅

AITS-PT-I-PCM-JEE(Main)/2022 FIITJEE Ltd., FIITJEE House, 29-A, Kalu Sarai, Sarvapriya Vihar, New Delhi -110016, Ph 46106000, 26569493, Fax 26513942 website: www.fiitjee.com 4 8. PQR is a plane lamina of the shape of an equilateral triangle. S and T are the mid points of PQ and PR respectively and C is the centroid of lamina. Moment of inertia of the lamina about an axis passing through C and perpendicular to plane PQR is I0. If PST is removed, then the moment of inertia of the remaining part about the same axis is (A) 5 I0 16 (B) 11 I0 16 (C) 0 I 16 (D) 15 I0 16 9. A rod of length ‘R’ and mass ‘M’ is free to rotate about a horizontal axis passing through ‘O’. It is released from horizontal position as shown in figure. At the lowest point the rod hits the block of mass ‘m’ and stops. If the block just completes the vertical circle after collision, then find M m . (A) 5 (B) 10 (C) 15 (D) 20 10. A particle of mass m collides elastically with a smooth horizontal circular disc of same mass ‘m’ and radius ‘R’ placed on a smooth horizontal surface with the plane of the disc lying over the horizontal surface. If h = R 2 , then angle of deviation of particle of mass m after collision in degree will be (A) 30 (B) 60 (C) 90 (D) 120 11. A ball is projected from ground with some initial speed at an angle 37 with the horizontal. There is a smooth vertical wall at a distance of 12m from the point of projection. The collision of the ball with the wall is elastic. After collision, the ball lands on the ground at a distance 9m from the point of projection. Find the height ‘H’ at which the ball hits the wall. (A) 1.2 m (B) 2 m (C) 1.8 m (D) 3.6 m 9m 12m H R h m m R R M O m P Q R S T C