What is the velocity at maximum displacement?
At either position of maximum displacement, the force is greatest and is directed toward the equilibrium position, the velocity (v) of the mass is zero, its acceleration is at a maximum, and the mass changes direction.
When velocity is zero What is displacement?
Hence, generally, when the total displacement is zero the average velocity is zero. For a better understanding, recall that the displacement of a body is a vector and hence is dependent on the direction. It is specifically defined as the rate of change of position of the object in a specified direction.
Can velocity be zero if displacement is zero?
Velocity is the rate of change of displacement. If displacement is zero, the rate of change of displacement is zero so the velocity is zero.
Why is the velocity zero?
Because the person always returns to the original position, the motion would never result in a change in position. Since velocity is defined as the rate at which the position changes, this motion results in zero velocity.
Why in SHM The acceleration is zero when the velocity is greatest?
When the mass is at the maximum displacement position, velocity is zero because the mass is changing direction. When the mass reaches the equilibrium position, there is no restoring force. The acceleration, therefore, is zero, but the mass is moving at its highest velocity.
Why velocity is maximum at mean position?
The maximum displacement of the bob from its mean position, i.e. OA or OB is called its amplitude. As the bob is its lowest position at the point O. Its potential energy is minimum while its kinetic energy is maximum. For this reason its velocity is maximum at the mean position.
Can a displacement be zero?
Yes, the displacement can be zero. Because the change in the position of an object is known as the displacement. Here are two example when the displacement is zero: 1.
When velocity is zero What is acceleration?
When acceleration is zero then velocity of object can be zero or constant. For e.g if a train is at rest then acceleration is zero and velocity remains zero. But when train moves with uniform velocity then also acceleration is zero and velocity remains constant.
How can displacement be zero?
However, the displacement will be zero because the initial and final position are the same. Therefore, we conclude that displacement can be zero even if distance is non zero. If a car travels from point A to B and then comes back and AB=5cm. Then the distance travelled is 10cm and displacement is zero.
Why displacement can be zero but distance Cannot?
Answer: displacement can be zero but distantce because displacement has both direction and magnitude while distance has only magnitude. Therefore, as we move from our home to the shop and then back to home, displacement is zero while distance is not zero. The distance can be zero only if the object remains at rest.
Is velocity zero at the highest point?
At a projectile’s highest point, its velocity is zero. At a projectile’s highest point, its acceleration is zero.
Why acceleration is zero at mean position and maximum at extreme position?
Complete answer: The acceleration is the change in velocity with respect to me. If the velocity of the simple harmonic motion is maximum, the acceleration must be equal to zero. Therefore, the particle will have maximum velocity at the central position and minimum at the extreme positions.
What happens to the velocity when the displacement is zero?
In simple harmonic motion, the velocity constantly changes, oscillating just as the displacement does. When the displacement is maximum, however, the velocity is zero; when the displacement is zero, the velocity is maximum. It turns out that the velocity is given by: Acceleration in SHM The acceleration also oscillates in simple harmonic motion.
What does it mean to have zero acceleration at maximum velocity?
Retaining the maximum velocity for some time means that there is no rate of change of velocity, hence that means one has zero acceleration. Interesting that before reaching maximum velocity one would need a deceleration and after having no deceleration or acceleration one would go down the slope initiating an acceleration.
What is the relationship between velocity and displacement in SHM?
Velocity in SHM In simple harmonic motion, the velocity constantly changes, oscillating just as the displacement does. When the displacement is maximum, however, the velocity is zero; when the displacement is zero, the velocity is maximum.
What does it mean when the velocity of a body is maximum?
The velocity of a body is maximum means that you can not increase it further. Means change in velocity is zero. Means change in velocity is zero. Hence acceleration is zero.