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2072 Set E Q.No. 9c A body of mass 2 kg is suspended from a
spring of negligible mass and is found to stretch the spring
0.1 m. What is its force constant and the time period? [4]
Ans: 0.628 sec
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Answer:force constant is 196 N/m
Time period is 0.628 sec
Explanation:
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Given:
Mass of the body = 2 kg
extension in massless spring , x= 0.1m
To Find:
Find the force constant, k
Time period T
Solution:
tension developed in the spring = kx
=0.1k
Weight of the block = 2×9.8
=19.6kgf
at equilibrium,
weight = tension
therefore, 19.8=0.1k
k=196N/m
T=2π√(m/k)
=2×3.14×(√2/196)
=0.628 sec
Hence the force constant is 196N/m and the time period is 0.628 sec.
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