The angle between the linear momentum and angular momentum of a particle moving along a circle is
- $ 0^{\circ} $
- $ 45^{\circ} $
- $ 90^{\circ} $
- $ 180^{\circ} $
The Correct Option is C
Solution and Explanation
$\vec{L}=\vec{r}\times\vec{p}$ where $\vec{p}$ is the linear momentum of the particle
By the definition of vector product, $\vec{L}$ is perpendicular to $\vec{p}$.
So the angle between them is $90^{\circ}$.
Top Questions on Centre of mass
- Three blocks A, B and C are pulled on a horizontal smooth surface by a force of 80 N as shown in figure
The tensions T1 and T2 in the string are respectively:- JEE Main - 2024
- Physics
- Centre of mass
- Two solid spheres each of mass 2 kg and radius 75 cm are arranged as shown. Find MOI of the system about the given axis.
- JEE Main - 2024
- Physics
- Centre of mass
Find the value of m if \(M = 10\) \(kg\). All the surfaces are rough.
- JEE Main - 2024
- Physics
- Centre of mass
- Three identical spheres each of mass $M$ are placed at the corners of a right angled triangle with mutually perpendicular sides equal to $3 m$ each Taking point of intersection of mutually perpendicular sides as origin, the magnitude of position vector of centre of mass of the system will be $\sqrt{ x } m$ The value of $x$ is
- JEE Main - 2023
- Physics
- Centre of mass
As per the given figure, a small ball $P$ slides down the quadrant of a circle and hits the other ball $Q$ of equal mass which is initially at rest Neglecting the effect of friction and assume the collision to be elastic, the velocity of ball $Q$ after collision will be :$\left( g =10 \,m / s ^2\right)$
- JEE Main - 2023
- Physics
- Centre of mass
Questions Asked in JKCET exam
- A moving block having mass $m$, collides with another stationary block having mass $4\,m$. The lighter block comes to rest after collision. When the initial velocity of the lighter block is $v$, then the value of coefficient of restitution (e) will be
- JKCET - 2019
- work, energy and power
- A force $ F = 3x^2 + 2x + 1 $ acts on a body in the $ x $ -direction. The work done by this force during a displacement from $ x = -1 $ to $ +1 $ is
- JKCET - 2019
- work, energy and power
- What is the colour of the flame on heating potassium in the flame of a Bunsen burner?
- JKCET - 2019
- GROUP 1 ELEMENTS
- If $ a $ , $ b $ , $ c $ are the lengths of three edges of unit cell, $ \alpha $ is the angle between side $ b $ and $ c $ , $ \beta $ is the angle between side $ a $ and $ c $ and $ \gamma $ is the angle between side $ a $ and $ b $ , what is the Bravais Lattice dimensions of a tetragonal crystal?
- JKCET - 2019
- The solid state
- Which of the following compounds is known as copper glance?
- JKCET - 2019
- General Principles and Processes of Isolation of Elements
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.