Question

Question 1. John has a simple pendulum with length 0.60 m.

a) If he releases it from an angle of 10 degrees, what is the pendumlums bob's speed when it passes through the lowest point of the swing, assume. Simple Harmonic Oscillation (SHO).

b) John wishes to make a SHO using a mass hanging from a spring that has the same natural frequency as the pendulum. If the spring he uses has spring constant of 74.5 N/m, what mass must he use?

2) The velocity of waves on John's string are 350 m/s. If the frequency of a standing wave is 420 Hz, how far apart are the nodes?

3) Two trains emit whistles of the same frequency, 410Hz. If one train is at rest and the other is traveling at 100 km/hr away from John at rest, what will John detect as the beat frequency?

4) (a) Ordinary conversation at 50cm corresponds to a sound level of 65db. What is the new sound level if 2 of John's friends join in?

(b) If the temperature in John's church rises, how will that affect the pitch of organ pipes? Briefly explain.

Answer 1

ca) Firyt draw need Le the gheen Cue condation Rnternal me indudeol. dor No consenvation ot energ we ca ay gl Cl-Cono 1 and gHuen deo-60 we aure Puting we get 2gtCi-loso) Freuny ot dimble pendulun given c0 271

And fre quenay of ystem shring mas s given by k We that giuen ane fr -fs 오r and k yiven 74.5N/m butting we get 74.5J(06) 9.8 .56 kg

CWe iuen ane Velouly ot wave v 350 mls and frequeney, 420H2 We know thal 350 -83 The distance between two nodes isguen as

d = O&33 .416

Hope it helps...

Please give me a thumbs up...