Question

If K_S and K_P respectively are effective spring constants in series and parallel configurations of springs as shown in the figure. Find `K_S/K_P`.

(i)	(ii)

विकल्प

• `9/2`

• `3/7`

• `2/9`

• `7/3`

Answer 1

`underlinebb(2/9)`

Explanation:

The two springs are connected in series in the arrangement depicted in Fig. (i). This arrangement's effective spring constant K_s,

`1/k_s = 1/k + 1/(2k)  "or"  1/k_s = (2 + 1)/(2k) = 3/(2k)`

⇒ `k_s = (2k)/3`

The two springs are parallel in the arrangement depicted in Fig. (ii). This arrangement's effective spring constant, K_P

k_p = k₁ + k₂ = k + 2k = 3k

∴ `k_s/k_p = ((2k)/3)/(3k) = 2/9`