1.

Take a spring of medium stiffness, about 20 cm in length. Fix the upper end of the springto a rigid support. On the lower end attach a scale pan of known mass so that the systemhangs vertically. Pull the pan 1-2 cm downwards and release. The pan will oscillate upand down. Measure the time of 20 oscillations with the help of a stop watch and calculatethe time period of oscillation of pan. Now place a middle size pebble on the pan, set it inoscillations and determine the time period of oscillation again. Calculate the mass of thepebble using the data obtained from your observations.

Answer»

Maximum mass that the scale can read, M = 50 kg

Maximum displacement of the spring = Length of the scale, L = 20 cm = 0.2 m

Time period, T = 0.6 s

Maximum force exerted on the spring, F = Mg

where,g = acceleration due to gravity = 9.8 m/s2

F = 50 × 9.8 = 490 N

∴spring constant, k = F/l = 490/0.2 = 2450 N m-1.

Mass m, is SUSPENDED from the balance  

WEIGHT of the body = mg = 22.36 × 9.8 = 219.167 N

Hence, the weight of the body is about 219 N.



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