Simple harmonic motion is defined as a periodic motion of a point along a straight line, such that its acceleration is always towards a fixed point in that line and is proportional to its distance from that point.
Why is it called simple harmonic motion?
The motion of a particle moving along a straight line with an acceleration whose direction is always towards a fixed point on the line and whose magnitude is proportional to the distance from the fixed point is called simple harmonic motion.
Why is SHM important?
Whilst simple harmonic motion is a simplification, it is still a very good approximation. Simple harmonic motion is important in research to model oscillations for example in wind turbines and vibrations in car suspensions.
What are two basic characteristics of SHM?
Solution : The two basic characteristics of a simple harmonic motion : (i) Acceleration is directly proportional to displacement.
(ii) The direction of acceleration is always towards the mean position, that is opposite to displacement.
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Answer:
v = 0.363 m/s
Explanation:
Given that,
The table is 0.55m tall and the tennis ball lands 0.12m away from the table.
Here, u = 0 (at rest) for initial vertical velocity as it rolls off the edge of a table.
Let t is the time to fall from the vertical height. So,
It can be assumed to find the initial horizontal velocity of the tennis ball. It can be given by :
Hence, the initial horizontal velocity is 0.363 m/s.
To develop this problem we will apply the concepts related to angular kinematic movement, related to linear kinematic movement. Linear velocity can be described in terms of angular velocity as shown below,
Here,
v = Lineal velocity
= Angular velocity
r = Radius
Our values are
Replacing to find the angular velocity we have,
Convert the units to RPM we have that
Therefore the angular speed of the wheels when the scooter is moving forward at 6.00 m/s is 955.41rpm
Answer: Your answer is<u> 1.36.</u>
Hope this helps!
The speed of the wave created by Linh in the spring by moving the other end right and left with a frequency of 2 Hz is 1m/s.
<h3>How to calculate speed of a wave?</h3>
The speed of a wave can be calculated by using the following formula:
Speed = Wavelength x Frequency
According to this question, Linh creates waves in the spring by moving the other end right and left with a frequency of 2 Hz. If wave crests are 0.5 m apart, the speed can be calculated as follows:
speed = 2Hz × 0.5m
speed = 1m/s
Therefore, the speed of the wave created by Linh in the spring by moving the other end right and left with a frequency of 2 Hz is 1m/s.
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