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Block 1 (m1 = 3 kg) and block 2 (m2 = 10 kg) are adjacent to each other on the s

ID: 1629921 • Letter: B

Question

Block 1 (m1 = 3 kg) and block 2 (m2 = 10 kg) are adjacent to each other on the surface of a table. Block 2 is to the LEFT of block 1. A hand pushes horizontally on block 2 and causes both blocks to move to the right with an acceleration of magnitude 7 m/s^2. The coefficient of kinetic friction between the block and the surface equals 0.8. In the area below, DRAW the FREE BODY DIAGRAMS (per FBD) for block 1 and block 2 using the two-subscript notation from class. Each vector should be neatly drawn and labeled for full credit. After completing the free body diagrams, enter below the x & y-components of N12 and N2H. Remember that the x-component is the "i" component and the y-component is the "j" component. Normal force on block 1 by block 2 N12 = Normal force on block 2 by Hand N2H =

Explanation / Answer

Writing equation of motion for m2

R1-f2=m2a

so, R1 = 0.8 x m2g + m2a

= 0.8 x10 x 9.8 + 10 x 7

= 148.4 i N

so N2H = 148.4 i + 0 J

writing equation of motion for m1

R1-f1= m1a

so, R1=N12 = 0.8 m1g + m1a

= 0.8 x 3 x 9.8 + 3 x 7

= 44.52 i N

N12 = 44.52 i + 0 j

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