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A1104 Pages: 4

A clock provided with a seconds pendulum is gaining 160 seconds a day. Find by how
much the length of the pendulum should be increased so as to correct the clock. If it is
running at correct time at a place where acceleration due to gravity is 9.81 m/s”, find by
how much the clock will lose or gain if it is taken to a place where the acceleration due
to gravity 15 9.79/52 ۱

A helical spring under a weight of 20 N extends by 0.3 mm. A weight of 700 N is
supported on the same spring. Determine the period and frequency of vibration of the
spring when they are displaced vertically by a distance of 0.9 cm and released. Find the
velocity of the weight when the weight is 4 mm below its equilibrium position. Take

the weight of spring as negligible.

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