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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 23 questions
- Multi-correcteasyCenter of maas , Momentum and Collision
A semicircular wire and a semicircular lamina both have radius R. Their common centre is at the origin and both lie above the x-axis. Which statements are correct?
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JEE MainsNEETJEE Advanced
Open question & full solution → - NumericmediumCenter of maas , Momentum and Collision
A man of mass 60 kg stands at one end of a uniform boat of mass 40 kg and length 5 m. The boat floats on still water and horizontal external force is negligible. The man walks to the other end. If the magnitude of displacement of the boat is N m, find N.
JEE MainsNEETJEE Advanced
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 → - MCQmediumCenter of maas , Momentum and Collision
A rectangular lamina occupies 0≤x≤a, 0≤y≤b and has surface mass density σ=σ₀x/(ab). Its centre of mass is:
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JEE Mains 2025 28 Jan Morning Shift
Open question & full solution → - NumericmediumCenter of maas , Momentum and Collision
Three balls of masses 2 kg, 4 kg and 6 kg respectively are arranged at centre of the edges of an equilateral triangle of side 2 m. The moment of inertia of the system about an axis through the centroid and perpendicular to the plane of triangle, will be ______ kg m².
JEE Mains 2024 06 Apr Evening Shift
Open question & full solution → - MCQmediumCenter of maas , Momentum and Collision
A thin rod of length L lies along the x-axis from x = 0 to x = L. Its linear mass density varies as λ(x) = λ₀(1 + x/L). The position of its centre of mass is:
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JEE MainsNEETJEE Advanced
Open question & full solution → - NumericeasyCenter of maas , Momentum and Collision
A thin circular disc of radius R has surface mass density σ(r) = σ₀r/R, where r is the distance from its geometrical centre. If the distance of its centre of mass from the geometrical centre is NR, find N.
JEE MainsNEETJEE Advanced
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 → - NumericmediumCenter of maas , Momentum and Collision
A uniform triangular lamina has vertices A(0,0), B(6,0) and C(0,6). A smaller triangular lamina with vertices (0,0), (3,0) and (0,3) is removed. If the centre of mass of the remaining lamina is at x(CM) = y(CM) = N/3, find N.
JEE MainsNEETJEE Advanced
Open question & full solution → - NumericeasyCenter of maas , Momentum and Collision
Identical spheres, each of mass 2M, are placed at the corners of a right-angled triangle whose mutually perpendicular sides are 4 m each. Taking the point of intersection of these two sides as origin, the magnitude of the position vector of the centre of mass is 4√2/x, where x is ____.
JEE Mains 2024 01 Feb Morning Shift
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