Question

Block 1 of mass m1 = 30 kg rests on a frictionless floor, and block 2 of mass m2 = 8 kg rests on top of block 1, as shown in Figure 4. Between the two blocks, the coefficient of static friction and the coefficient of kinetic friction are respectively 0.5 and 0.4. A 60-N horizontal force F pulls on block 2. Figure 4 (a) Draw a free-body diagram for block 1 and one for block 2. (4 marks) (b) Find the accelerations of the two blocks and express them in unit-vector notation. (11 marks) 

          Block 1 of mass m1 = 30 kg rests on a frictionless floor, and block 2 of mass m2 = 8 kg rests on top of block 1, as shown in Figure 4. Between the two blocks, the coefficient of static friction and the coefficient of kinetic friction are respectively 0.5 and 0.4. A 60-N horizontal force F pulls on block 2.

Figure 4

(a) Draw a free-body diagram for block 1 and one for block 2. (4 marks)

(b) Find the accelerations of the two blocks and express them in unit-vector notation. (11 marks)
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Block 1 of mass m1 = 30 kg rests on a frictionless floor, and block 2 of mass m2 = 8 kg rests on top of block 1, as shown in Figure 4. Between the two blocks, the coefficient of static friction and the coefficient of kinetic friction are respectively 0.5 and 0.4. A 60-N horizontal force F pulls on block 2. Figure 4 (a) Draw a free-body diagram for block 1 and one for block 2. (4 marks) (b) Find the accelerations of the two blocks and express them in unit-vector notation. (11 marks)

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University Physics with Modern Physics
University Physics with Modern Physics
Hugh D. Young 14th Edition
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Block 1 of mass m1 = 30 kg rests on a frictionless floor, and block 2 of mass m2 = 8 kg rests on top of block 1, as shown in Figure 4. Between the two blocks, the coefficient of static friction and the coefficient of kinetic friction are respectively 0.5 and 0.4. A 60-N horizontal force F pulls on block 2. Figure 4 (a) Draw a free-body diagram for block 1 and one for block 2. (b) Find the accelerations of the two blocks and express them in unit-vector notation.
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Transcript

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00:01 Hi, so in our question, we've got a block 1 that has a mass m1 of 30 kg.
00:07 Now it rests on a frictionless floor and block 2 of mass m2, that is 8 kg, rests on top of block 1.
00:17 Now between the two blocks, the coefficient of static friction and the coefficient of kinetic friction are given to us as 0 .5 and 0 .4.
00:32 And then a force of magnitude of 60 newton pulls on block 2.
00:38 We need to determine the acceleration of the two blocks and express them in unit vector notation.
00:45 The free body diagrams of both the blocks will be as shown here respectively...
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