Free physics question bank
center of mass and question based on it questions with solutions
Practice Center of maas , Momentum and Collision for JEE Main, JEE Advanced, NEET, and Classes 11–12. Attempt each question, then open it for the full solution.
Showing 1–10 of 47 questions
- MCQmediumCenter of maas , Momentum and Collision
A toy is made of a cone of height 4R and base radius 2R with a sphere of radius R mounted on top. Sphere density is 12 times cone density. The centre of mass of the toy lies:

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JEE Advanced
Open question & full solution → - MCQmediumCenter of maas , Momentum and Collision
A square sheet of side 2a has its two right corners folded to the centre O as shown. Taking O=(0,0), centre of mass of the new system is:


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JEE Advanced
Open question & full solution → - MCQeasyCenter of maas , Momentum and Collision
Three masses lie on the x-axis: 300 g at the origin, 500 g at x=40 cm and 400 g at x=70 cm. Find the centre-of-mass distance from the origin.
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AIPMT Mains 2012NEET
Open question & full solution → - MCQmediumCenter of maas , Momentum and Collision
Three point masses of 2 kg, 3 kg and 15 kg are placed at the vertices shown in the figure. Point P, the midpoint of the perpendicular bisector indicated in the figure, is taken as the origin. What are the coordinates of the centre of mass of the three-particle system?

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JEE Mains 2026 6 April Morning Shift
Open question & full solution → - IntegermediumCenter of maas , Momentum and Collision
From a uniform circular disc of radius 20 cm, a circular portion of radius 5 cm is removed internally so that the small circle is tangent to the outer circumference. The magnitude of shift of the centre of mass is:
JEE Mains 2025 23 Jan Morning Shift
Open question & full solution → - MCQeasyCenter of maas , Momentum and Collision
A thick uniform wire is bent into the shape of the letter U as shown. A is the midpoint of the line joining the midpoints of the two parallel sides. Which labelled point gives the centre of mass of the wire?

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JEE Mains
Open question & full solution → - MCQeasyCenter of maas , Momentum and Collision
Particles of masses 5 kg and 10 kg are at the ends of a light rigid rod of length 1 m. How far from the 5 kg particle is their centre of mass?
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NEET 2020
Open question & full solution → - NumericmediumCenter of maas , Momentum and Collision
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_______.

JEE Mains 2024 08 Apr Morning Shift
Open question & full solution → - MCQmediumCenter of maas , Momentum and Collision
A uniform disc of radius R has a circular portion of radius R/2 removed from it. The centre of the removed portion was initially at x = R/2. The removed piece is then placed externally with its centre at x = 3R/2, without overlapping the remaining disc. Taking the original disc centre as x = 0, the centre of mass of the complete system is at:
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JEE MainsNEETJEE Advanced
Open question & full solution → - MCQmediumCenter of maas , Momentum and Collision
A circular plate of diameter 56 cm has a circular portion of diameter 42 cm removed from one edge as shown. The centre of mass of the remaining plate is:

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JEE Advanced
Open question & full solution →