Question

As shown in the figure, two light springs of force constant `k_(1)` and `k_(2)` oscillate a block of mass m. Its effective force constant will be

A. `k_(1)k_(2)`
B. `k_(1)+k_(2)`
C. `(1)/(k_(1)) +(1)/(k_(2))`
D. `(k_(1)k_(2))/(k_(1)+k_(2))`

Answer 1

Correct Answer - D
(d) The springs are connected in series. So, the effective force constant will be
`(1)/(k_(e))=(1)/(k_(1))+(1)/(k_(2))impliesk_(e)=(k_(1)k_(2))/(k_(1)+k_(2))`