Question

Item 3 3 of 20 Blocks A and B of mass 12 kg and 8 kg respectively, are placed on the inclined plane and released. The coefficients of kinetic friction between the blocks and the inclined plane are f4-0.2 and ?? 0.5. Neglect the mass of the link. (Figure 1) v Part A Determine the magnitude of the force developed in the link. Express your answer to three significant figures and include the appropriate units. Figure 1 of 1 F6.91 Submit Previous Answers Request Answer Incorrect: Try Again: 4 attempts remaining Provide Feedback Next > 30°

Answer 1

For block-A;

$\Rightarrow T+12(9.81)sin30^{\circ}-(0.2)[12(9.81)cos30^{\circ}] = 12a$

$\Rightarrow 0.0833T+3.206 = a$

For block-B;

$\sum F_x=ma$

$\Rightarrow -T+8(9.81)sin30^{\circ}-(0.5)[8(9.81)cos30^{\circ}] = 8a$

$\Rightarrow -T+5.257 = 8(0.0833T+3.206)$

$\Rightarrow T = -12.236\;\;N$

Hence the magnitude of the force is,

$\Rightarrow F = 12.236\;\;N$