Problem #3 (6 points) shaker tables are often used at nasa goddard to simulate mechanical loading during rocket launches and thus test the structural integrity of satellite payloads during the launch process. a particular table at goddard provides a known periodic sinusoidal displacement that serves as an input signal to a sensor/device placed on top. this may be used to calibrate an accelerometer if known displacements/accelerations are provided at a known frequency. if the shaker table displacement d(t) is programmed to vary between 2 and 5 mm at a frequency of 100 hz: a) express theinput signal dit') as a fourier series, b) plot the signal in the time domain (matlab preferred, hand-sketch acceptable) from time t 0 to t 40 msec, clearly labeling all axes and pertinent specifications, and construct an amplitude spectrum plot c)

air exerts forces on falling objects near earth’s surface.

explanation:

the term 'free falls' refer to object that are falling towards the earth, in a situation in which gravity is the only force acting on the object.

for an object in free fall, the acceleration is constant (g, the gravitational acceleration), and so the velocity of the object constantly increases.

for objects near earth's surface, there is always another force acting on the object: the resistance due to the air. this force is opposed to the direction of fall of the object, and it is proportional to the velocity of the object, so as the object falls down, this force increases up to a point when it balances the force of gravity, and the object continues its motion at constant velocity (called terminal velocity). since in this case gravity is not the only force acting on the object, we are not in a situation of free fall.

its a 5.5 n

glad that