all ROGERS 9:49 PM Today 9:15 PM Edit 2 of 3 ons are to be answered with a short

Question

all ROGERS 9:49 PM Today 9:15 PM Edit 2 of 3 ons are to be answered with a short paragraph. You will be graded on e s content of your answer as well as on its structure and condiseness. Remember, as with everything, neatness counts CQ 1: Four simple pendulums are shown below. The lengths of the pendulums are drawn to scale, and the masses are either m or 2m as shown. Which pendulum has the smallest angular frequency of oscillation? Briefly justify your choice. )B () C (d) D (e) A&C; CQ 2: The shock absorbers on a car are badly in need of replacement and introduce very little damping. Does the number of occupants in the car affect the vibration frequency of the car's suspension system? Yes or No, briefly justify your answer.

Explanation / Answer

Q1. given 4 simple pendulums

Ld = L

Lc = 2L

Lb = 2L + x

La = 2L - x

now, angular frequency of oscilation w = sqrt(g/l)

so, longest length gives shortest angular frequency

Lb is longest

hence

option b) B

Q2. for a cars suspension system the equation of motion can be written as

mx" + cx' + kx = 0

now, angular frequency of osscilation = w

w = sqroot(k/m - c^2/4m^2)

hence

dw/dm = (-k/m^2 + 2c^2/4m^3)/2*sqroot(k/m - c^2/4m^2)

hence

dw/dm is not independent of m

number of peorple inside the car has an effect onthe osscilation frequency of the cars suspension system

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