1.) A 14kg motor is mounted on rubber feet. The motor can be pulled aside a distance of .5cmby a force of 200N. (a) Find the spring constant for the sideways motion of the motor. (b) What is the natural frequency for sideways vibration of the motor? (c) The motor is to rotate the drum of an electric dryer by means of a belt connected to a pulley. If the driven pulley is to rotate at 9 rev/s, is trouble likely to result? Why?

2.) A heavy weight hangs at the end of a 140m cable. A worker strikes the top of the cable sideways, the pulse hits the weight after a time of 4 s. (a) With about what frequency must he vibrate the top end if the rope is to resonate in its fundamental? (b) It's first overtone? (c) Why is your answer only approximate?

Solution Summary

This solution is provided in 3 .jpg files. Each file goes through how to solve each problem using step-by-step equations.

... We could try to use the calculated frequency of the ... A better way to calculate is to look ...Calculates effective spring constant, natural frequency, frequency of ...

... suspended from one of the halves, the frequency is ... the new and initial frequencies is calculated when the ...Calculate the effective force constant in each of the ...

... (b) Calculate the normal force N exerted by the side of the slot ... Angular frequency ω = 2Πf = v/r => v = 2Πfr. ... The expert calculates the normal force exerted. ...

... its normal tension of 600 N to 540 N, what beat frequency is heard ... Work done on spring: ... The period T can be calculated from the time it takes for the object to ...

... (c) Calculate the amplitude ... of a certain car are adjusted so that the oscillations have a frequency of 3 ... (a) What is the spring constant of each spring if the ...

... of oscillation, and position with time is calculated. ... a.) the angular frequency of the oscillation b ... identical, ideal springs which have spring constants of 40 N ...

... the radius of the wheel we can calculate the moment ... The frequency is calculated when the dimensions of the wheel ... you what would happen to the frequency of the ...

... is the mass to use in calculating the frequency...Calculate the frequency of small-amplitude vibrations ... radial potential and obtain the vibrational frequency...

... of the two masses as a function of time are calculated. ... l + ∆l and l is natural length of the spring,. ... center of mass and the angular frequency of oscillation ...