The velocity of the oscillating mass at time is or or .
Further explanation:
Velocity of a particle or a mass at any instant is defined as the rate of change of position of particle with respect to time.
Mathematically,
If position of a particle or mass is a function of time then velocity of mass at any instant will change with respect to time.
Given:
The position of an oscillating mass varies according to the function .
Mass of an oscillating object is .
Concept:
The velocity of mass at any instant is calculated by using the following relation
Therefore the velocity of the mass at any instant is given by
From the above expression of velocity it can be observed that velocity is changing with time according to the sin function.
Substitute for t in the above expression
Thus, the velocity of the oscillating mass at time is or or .
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Answer Details:
Grade: College
Subject: Physics
Chapter: Force
Keywords:
position, oscillating, 55 g, mass, time, x(t)=(2.0cm)cos(10t), t=4 s, determine, velocity, 15 cm/s, 0.15 m/s, rate, change in position.