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The three springs with force constant k(...

The three springs with force constant `k_(1)=7.5(N)/(m),k_(2)=10.0N/m,k_(3)=12.5N/m` are connected in parallel to a mass of `0.500kg` . The mass is then pulled to the right and released . Then the period of the motion is.

A

0.6 s

B

0.8 s

C

0.5 s

D

0.4 s

Text Solution

Verified by Experts

The correct Answer is:
B
The period of motion , is
`T=2pisqrt((m)/(k_(1)+k_(2_+k_(2))))`
`T=2pi sqrt((0.500)/(7.5+10.0+12.5))`
`=2xx3.14xxsqrt((0.5)/(30))=2xx3.14xxsqrt(0.0167)`
`=2xx3.14xx0.1290s`
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