Block A (0.40 kg) and block B (0.30 kg) are on a frictionless table (see figure)

Question

Block A (0.40 kg) and block B (0.30 kg) are on a frictionless table (see figure). Spring 1 connects block A to a frictionless peg at 0 and spring 2 connects block A and block B. When the blocks are in uniform circular motion about 0, the springs have lengths of 0.60 m and 0.40 m, as shown. The springs are ideal and massless, and the linear speed of block B is 2.0 m/s. If the distance that spring 2 stretches is 0.060 m, the spring constant of spring 2 is closest to 20 N/m. 24 N/m. 22 N/m. 18 N/m. 26 N/m.

Explanation / Answer

for A

k2*0.06 + m1*(2/0.6)^2*0.6 =k1*x1

for B

k2*0.06=0.3*4/(0.6+0.4)

we got k2=20 N/m

so answer is 20 N/m

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