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In simple harmonic motion the magnitude of the acceleration is greatest when the?
Wiki User
∙ 11y ago
displacement is maximum
Wiki User
∙ 11y ago
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What is the minimum acceleration for a particle in simple harmonic motion obeying x equals acos2t?
Acceleration is a vector, so it has both magnitude and direction.A particle in the simple harmonic motion, x = a cos(2t), has an acceleration that varies between positive and negative extremes (+4a and -4a) at the end points of its motion and has zero acceleration as it passes through its center of motion.Here is the mathematics.Position ' x ' = a cos(2t)Velocity ' v ' = dx/dt = -2a sin(2t)Acceleration = dv/dt = -4a cos(2t)The minimum instantaneous magnitude of acceleration is zero,and its most negative instantaneous value is [ -4a ].
How can you tell that a motion is simple harmonic?
A motion is simple harmonic if the acceleration of the particle is proportional to the displacement of the particle from the mean position and the acceleration is always directed towards that mean position.
When a body moves in a simple harmonic motion its acceleration at the ends of its path is?
maximum
Define simple harmonic motion . prove that vibrating motion of mass attached to spring is Simple harmonic motion?
its is the motion in which acceleration is directly proportion to the displacement from a fix point and always directed towards the center
Acceleration is any change in the state of motion of an object?
Acceleration is a change in either the magnitude or direction of velocity, over time. http://en.wikipedia.org/wiki/Acceleration
For simple harmonic oscillator where is the greatest acceleration?
The acceleration is greatest at the top and bottom of the motion.
Where is acceleration greatest in circular motion?
If an object moves in a circle at a constant speed, the magnitude of the acceleration won't change.
What is the minimum acceleration for a particle in simple harmonic motion obeying x equals acos2t?
Acceleration is a vector, so it has both magnitude and direction.A particle in the simple harmonic motion, x = a cos(2t), has an acceleration that varies between positive and negative extremes (+4a and -4a) at the end points of its motion and has zero acceleration as it passes through its center of motion.Here is the mathematics.Position ' x ' = a cos(2t)Velocity ' v ' = dx/dt = -2a sin(2t)Acceleration = dv/dt = -4a cos(2t)The minimum instantaneous magnitude of acceleration is zero,and its most negative instantaneous value is [ -4a ].
Is motion of swing an example of simple harmonic motion?
A body undergoes simple harmonic motion if the acceleration of the particle is proportional to the displacement of the particle from the mean position and the acceleration is always directed towards that mean. Provided the amplitude is small, a swing is an example of simple harmonic motion.
How can you tell that a motion is simple harmonic?
A motion is simple harmonic if the acceleration of the particle is proportional to the displacement of the particle from the mean position and the acceleration is always directed towards that mean position.
Can every oscillatory motion be treated as simple harmonic motion in the limit of small amplitude?
No. Simple harmonic motion requires that the acceleration is proportional to the displacement (and in the opposite direction). It is possible to have periodic motion where that is not the case.
When a body moves in a simple harmonic motion its acceleration at the ends of its path is?
maximum
Define simple harmonic motion . prove that vibrating motion of mass attached to spring is Simple harmonic motion?
its is the motion in which acceleration is directly proportion to the displacement from a fix point and always directed towards the center
Is it possible for a moving body to have acceleration without velocity?
simple harmonic motion (SHM) the two summits of motion are an example
Acceleration is any change in the state of motion of an object?
Acceleration is a change in either the magnitude or direction of velocity, over time. http://en.wikipedia.org/wiki/Acceleration
How you called an object in harmonic motion?
When the acceleration is directly proportional to the displacement from a fixed point and always directed towards that fixed point then such an oscillation or vibration is said to be simple harmonic
Rate of change of the velocity of an object?
The change in velocity is just the change in velocity. The RATE of change of velocity - how quickly velocity changes - is usually called "acceleration".
