Two particles of mass $5\,kg$ and $10\,kg$ respectively are attached to the two ends of a rigid rod of length 1m with negligible mass.
The centre of mass of the system from the $5\,kg$ particle is nearly at a distance of :
- 33 cm
- 50 cm
- 67 cm
- 80 cm
The Correct Option is C
Solution and Explanation
$x_{cm}=\frac{m_{1}x_{1}+m_{2}x_{2}}{m_{1}+m_{2}}$
$=\frac{5 \times 0+100 \times 10}{5+10}$
$=\frac{200}{2}$
$=66.66\,cm$
$x_{cm}=67\,cm$
Top Questions on Centre of mass
- Three blocks A, B and C are arranged as shown in the figure such that the distance between two successive blocks is 10 m. Block A is displaced towards block B by 2 m and block C is displaced towards block B by 3 m. The distance through which the block B should be moved so that the centre of mass of the system does not change is
- AP EAPCET - 2025
- Physics
- Centre of mass
- The angular velocity of a body changes from \(6 \, \text{rad/s}\) to \(21 \, \text{rad/s}\) in a time of \(1.5 \, \text{s}\). If the moment of inertia of the body is \(100 \, \text{g m}^2\), then the rate of change of angular momentum of the body is
- AP EAPCET - 2025
- Physics
- Centre of mass
- A circular disc of diameter 0.8 m and mass 4 kg is rolling on a smooth horizontal plane. If 2.56 N torque is acting on the disc, then its angular acceleration is:
- AP EAPCET - 2025
- Physics
- Centre of mass
- Radius of gyration of a thin uniform rod of length \( L \) about an axis passing through its centre and perpendicular to its length is:
- AP EAPCET - 2025
- Physics
- Centre of mass
- Radius of gyration of a thin uniform rod of length \( L \) about an axis passing through its centre and perpendicular to its length is:
- AP EAPCET - 2025
- Physics
- Centre of mass
Questions Asked in NEET exam
The output (Y) of the given logic implementation is similar to the output of an/a …………. gate.
- NEET (UG) - 2025
- Logic gates
- A parallel plate capacitor made of circular plates is being charged such that the surface charge density on its plates is increasing at a constant rate with time. The magnetic field arising due to displacement current is:
- NEET (UG) - 2025
- Displacement Current
What is Microalbuminuria ?
- NEET (UG) - 2025
- Human physiology
In the above represented plasmid an alien piece of DNA is inserted at the EcoRI site. Which of the following strategies will be chosen to select the recombinant colonies?
- NEET (UG) - 2025
- Genetic Engineering and Biotechnology
- Polymerase chain reaction (PCR) amplifies DNA following the equation.
Concepts Used:
Center of Mass
The center of mass of a body or system of a particle is defined as a point where the whole of the mass of the body or all the masses of a set of particles appeared to be concentrated.
The formula for the Centre of Mass:
Center of Gravity
The imaginary point through which on an object or a system, the force of Gravity is acted upon is known as the Centre of Gravity of that system. Usually, it is assumed while doing mechanical problems that the gravitational field is uniform which means that the Centre of Gravity and the Centre of Mass is at the same position.