Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
JEE MainPhysicsCenter of Mass, Momentum and Collision

A uniform square sheet of side length 12 cm is placed on an xy -plane such that its bottom-left corner is at the origin and its sides lie along the positive x and y axes. A triangular corner of the sheet is folded perfectly over the remaining part. The fold is made along the line joining the midpoints of the top edge (6,12) and the right edge (12,6) , such that the corner originally at (12,12) lands exactly on the po

Correct answer

23

Step-by-step solution

Let the total mass of the square sheet be M . Its area is 144 cm ^2 . The original center of mass of the entire sheet is at (6, 6) . The folded part is a triangle with original vertices (12,6) , (12,12) , and (6,12) . The area of this triangular corner is 1 2 6 6 = 18 cm ^2 . The mass of this folded part is m = M 18 144 = M 8 . The original x -coordinate of the center of mass of this triangular part is: x_i = 12 + 12 + 6 3 = 10 cm After folding, the corner (12,12) lands on (6,6) . The other two vertices of the fold

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 2026The 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 _______. 2026Two 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 2026The 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 2026A 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 2026In 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 2026Given 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 2026In 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