Center of Mass and System of Particles
5 Board Physics previous year questions on Center of Mass and System of Particles — options free on every question; 1 include the answer & explanation free, the rest unlock with PYQ Pass.
A disc of radius 20 cm has its center at origin. If a disc of radius 5 cm is cut from it such that its edge touches the edge of the bigger disc, find the location of centre of mass of the new system.
(Shift I Memory Based)
(-1 cm, 0 cm)
R = 20 cm, r = 5 cm
Let the mass of big disc is M and the small disc is m.
\(\mathrm{Mass}\mathrm{per}\mathrm{unit}\mathrm{area}=\frac{\mathrm{M}}{\pi {\left(20\right)}^{2}}\\ \mathrm{mass}\mathrm{of}\mathrm{smaller}\mathrm{disc},\mathrm{m}=\frac{\mathrm{M}}{\pi {\left(20\right)}^{2}}\times \pi {\left(5\right)}^{2}=\frac{\mathrm{M}}{16}\)
The coordinates of centre of mass is given as
\({\mathrm{x}}_{\mathrm{cm}}=\frac{\mathrm{M}\times 0-\mathrm{m}\times 15}{\mathrm{M}-\mathrm{m}}=\frac{-\frac{\mathrm{M}}{16}\times 15}{\mathrm{M}-\frac{\mathrm{M}}{16}}=-1\mathrm{cm}\\ {\mathrm{y}}_{\mathrm{cm}}=0\mathrm{cm}\)
A disc of radius 20 cm has its center at origin. If a disc of radius 5 cm is cut from it such that its edge touches the edge of the bigger disc, find the location of centre of mass of the new system.
(Shift I Memory Based)
Options are free to see. Unlock the correct answer and full explanation with Pass.
Consider a circular disc of radius 20 cm with centre located at the origin. A circular hole of radius 5 cm is cut from this disc in such a way that the edge of the hole touches the edge of the disc. The distance of centre of mass of residual or remaining disc from the origin will be
[JEE Main 2025, 23 Jan (Shift 1)]
Options are free to see. Unlock the correct answer and full explanation with Pass.
Two bodies A and B of same mass undergo completely inelastic one dimensional collision. The body A moves with velocity \({v}_{1}\) while body B is at rest before collision. The velocity of the system after collision is \({v}_{2}\). The ratio \({v}_{1}:{v}_{2}\) is :
[NEET 2024]
Options are free to see. Unlock the correct answer and full explanation with Pass.
Two bodies A and B of same mass undergo completely inelastic one dimensional collision. The body A moves with velocity \({v}_{1}\) while body B is at rest before collision. The velocity of the system after collision is \({v}_{2}\). The ratio \({v}_{1}:{v}_{2}\) is :
Options are free to see. Unlock the correct answer and full explanation with Pass.
Practice more Board Physics PYQs
Browse every Physics chapter, or explore the full Board question bank.
All Physics chapters →