Homework 13 Oscillation C Physics question I Chegg x Course Home C www.webassign

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Homework 13 Oscillation C Physics question I Chegg x Course Home C www.webassign.net/web/Student/Assignment-Responses submit? dep 313131542 A lock ot unknown mass is attached to a spring with a spring constant o Nm and undergoes simple harmonic motion with an amplitude ot 11 0 cm. When the block is halfway between its equilibrium position and the end point speed is measured to be 33.0 cm/s. (a) Calculate the mass of the block. kg b) Calculate the period of the motion. (c) Calculate the maximum acceleration of the block. Need Help? Read Submit Answer Save Progress Practice Another Version 7. -2 points SerPSETO 15. P.033. My Notes Ask Your Teacher While driving behind a cartraveling at 2.55 m/s, you notice that one of the car's tires has a small hemispherical bump on its rim as shown in the following figure. (a) Explain why the bump, from your viewpoint behind the car, executes simple harmonic motion This answer has not been graded yet. (b) If the radii of the car's tires are 0.395 m, what is the bump's period of oscillation? Need Help? Read 8. O -2 points SerPSETO 15. P.035. My Notes Ask Your Teacher 9:45 PM Start 4/18/2016

Explanation / Answer

6)

Given

k = 7.5 N/m

amplitude A = 0.11 m

v = 0.33 m/s

a)

from the condition

K.E = P.E / 2

0.5 * m * v^2 = 0.5 * k * x^2 / 2

0.5 * m * 0.33^2 = 0.5 * 7.5 * (A/2)^2 / 2

m = 0.1 kg

b)

period T = 2pi sqrt(k/m)

T = 2pi * sqrt(7.5/0.1)

T = 54.38 s

c)

omega = 2pi/T = 2pi/54.38

omega = 0.11 rad/s

maximum acceleration

amax = A * sqr(omega)

amax = 0.11 * sqr(0.11)

amax = 1.33 * 10^-3 m/s^2

7)

a) The bump is observed once in every rotation of the wheel

so it seems to execute SHM

b)

time T = 2pi*r / v

T = 2*3.14*0.395 / 2.55

T = 0.97 s

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