Adamped harmonic oscillator consists of a mass on a spring, with a damping force proportional to the speed of the block. if the spring constant is 350 n/m, the mass of the block is 240 g, the damping constant is 0.41 kg/s, and the block is displaced 7.5 cm from its equilibrium position and then released, what is its kinetic energy after one cycle?

Explanation:

Given:

Now the frequency of damped oscillation is given as:

Now time period of one oscillation:

We know the equation of motion for the damped harmonic motion of a mass attached to a spring is given as:

........................(1)

From above we find the position of the mass:

is the position after 1 cycle.

So, the Kinetic energy can be given as:

well, you would divide 135 by 33 to get your answer. then that is how many seconds it would take. boardman should fly about 132 m or 4.090909090909091 seconds.

the small 0.38-kg slider is known to move from position a to position b along the vertical-plane slot. determine (a) the work done on the body by its weight and (b) the work done on the body by the spring. the distance r = 0.70 m, the spring modulus k = 154 n/m, and the unstretched length of the spring is 0.53 m

explanation:

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