Read each statement below carefully and state, with reasons, if it is true or false :
$(a)$ The net acceleration of a particle in circular motion is always along the radius of the circle towards the centre
$(b)$ The velocity vector of a particle at a point is always along the tangent to the path of the particle at that point
$(c)$ The acceleration vector of a particle in uniform circular motion averaged over one cycle is a null vector
Read each statement below carefully and state, with reasons, if it is true or false :
$(a)$ The net acceleration of a particle in circular motion is always along the radius of the circle towards the centre
$(b)$ The velocity vector of a particle at a point is always along the tangent to the path of the particle at that point
$(c)$ The acceleration vector of a particle in uniform circular motion averaged over one cycle is a null vector
$(a)$ False : The net acceleration of a particle in circular motion is not always directed along the radius of the circle toward the centre. It happens only in the case of uniform circular motion.
$(b)$ True : At a point on a circular path, a particle appears to move tangentially to the circular path. Hence, the velocity vector of the particle is always along the tangent at a point.
$(c)$ True: In uniform circular motion $(UCM)$, the direction of the acceleration vector points toward the centre of the circle. However, it constantly changes with time. The average of these vectors over one cycle is a null vector.
Similar Questions
The second's hand of a watch has $6\, cm$ length. The speed of its tip and magnitude of difference in velocities of its at any two perpendicular positions will be respectively
The second's hand of a watch has $6\, cm$ length. The speed of its tip and magnitude of difference in velocities of its at any two perpendicular positions will be respectively
Three point particles $P, Q, R$ move in circle of radius $‘r’$ with different but constant speeds. They start moving at $t = 0$ from their initial positions as shown in the figure. The angular velocities (in rad/ sec) of $P, Q$ and $R$ are $5\pi , 2\pi$ & $3\pi$ respectively, in the same sense. The time interval after which they are at same angular position.
Three point particles $P, Q, R$ move in circle of radius $‘r’$ with different but constant speeds. They start moving at $t = 0$ from their initial positions as shown in the figure. The angular velocities (in rad/ sec) of $P, Q$ and $R$ are $5\pi , 2\pi$ & $3\pi$ respectively, in the same sense. The time interval after which they are at same angular position.
A simple pendulum is oscillating without damping. When the displacement of the bob is less than maximum, its acceleration vector $\vec a$ is correctly shown in
A simple pendulum is oscillating without damping. When the displacement of the bob is less than maximum, its acceleration vector $\vec a$ is correctly shown in
- [IIT 2002]
If a particle covers half the circle of radius R with constant speed then
If a particle covers half the circle of radius R with constant speed then
A particle moves so that its position vector is given by $\overrightarrow {\;r} = cos\omega t\,\hat x + sin\omega t\,\hat y$ , where $\omega$ is a constant. Which of the following is true?
A particle moves so that its position vector is given by $\overrightarrow {\;r} = cos\omega t\,\hat x + sin\omega t\,\hat y$ , where $\omega$ is a constant. Which of the following is true?
- [NEET 2016]