A heavy ball of mass M is suspended from the ceiling of a car by a light string of mass m (m<<M). When the car is at rest, the speed of transverse waves in the string is 60 ms-1. When the car has acceleration a, the wave-speed increases to 60.5 ms-1.The value of a , in terms of gravitational acceleration g, is closest to :
Speed of wave on string -
- wherein
Tension in the string
linear mass density
v =
60 = given m << M
When the car accelerates with a
Resultant acceleration =
a = 0.1837 g
=
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