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B192001 Pages: 3

Find the deflection of the vibrating string which is fixed at the ends x = 0 and
x = 2and the motion is started by displacing the string into the form sin3¢ =) (10)

and released it with zero initial velocity at £ = 0.

Module VI
Find the temperature distribution in a rod of length 2m whose endpoints are

(10)

maintained at temperature zero and initial temperature is f(x} = 100(2x — x*).

OR

A rod of length 30cm has its ends A and B kept at 20°Cand 80°Crespectively
until steady state temperature prevails. Suddenly the temperature at A is raised to (10)

60°C and the end B is decreased to 40°C . Find the temperature distribution in

the rod at time t.

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