JEE Main20248 Apr 2024Morning ShiftPhysicsCenter of Mass, Momentum and CollisionActual

A uniform thin metal plate of mass 10 ~kg with dimensions is shown. The ratio of x and y coordinates of center of mass of plate in n 9 . The value of n is ________

Correct answer

Step-by-step solution

m ₁= 5=10 Kg aligned & m ₁ x ₁+ m ₂ x ₂= m ₃ x ₃ & 10 x ₁+2(1.5)=12(1.5) x ₁=1.5 ~cm & m ₁ y ₁+ m ₂ y ₂= m ₃ y ₃ & 10 y ₁+2(1.5)=12 1 y ₁=0.9 ~cm & x ₁ y ₁ = 1.5 0.9 = 15 9 & n =15 aligned

Practice Center of Mass, Momentum and Collision on Quantrex Academy →

More from Center of Mass, Momentum and Collision

Two identical bodies A and B of equal masses have initial velocities v₁ = 4 i m/s and v₂ = 4 j m/s respectively. The body A has acceleration a₁ = 6 i + 6 j m/s ^2 while the acceler 2026 The position of center of mass of three masses 2 kg, 3 kg and 15 kg placed with respect to mid point ( p ) of normal bisector, as shown in the figure is _______. 2026 Two blocks of masses 2 kg and 1 kg respectively, are tied to the ends of a string which passes over a light frictionless pulley as shown in the figure below. The masses are held at 2026 The position of an object having mass 0.1 kg as a function of time t is given as r = (10t^2 i + 5t^3 j ) m. At t = 1 s, which of the following statements are correct ? A. The linea 2026 A body of mass 14 kg initially at rest explodes and breaks into three fragments of masses in the ratio 2: 2: 3 . The two pieces of equal masses fly off perpendicular to each other 2026 In a perfectly inelastic collision, two spheres made of the same material with masses 15 kg and 25 kg, moving in opposite directions with speeds of 10 ~m / s and 30 ~m / s , respec 2026 Given below are two statements : Statement I : For a mechanical system of many particles total kinetic energy is the sum of kinetic energies of all the particles. Statement II : Th 2026 In a scattering experiment, a particle of mass 2 m collides with another particle of mass m , which is initially at rest. Assuming the collision to be perfectly elastic, the maximu 2025 Full Center of Mass, Momentum and Collision list All JEE Main PYQs