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Two blocks, stacked one on top of the other, can move
Chapter 6, Problem 87GP(choose chapter or problem)
Two blocks, stacked one on top of the other, can move without friction on the horizontal surface shown in Figure 6–40. The surface between the two blocks is rough, however, with a coefficient of static friction equal to 0.47. (a) If a horizontal force F is applied to the 5.0-kg bottom block, what is the maximum value F can have before the 2.0-kg top block begins to slip? (b) If the mass of the top block is increased, does the maximum value of F increase, decrease, or stay the same? Explain.
Questions & Answers
QUESTION:
Two blocks, stacked one on top of the other, can move without friction on the horizontal surface shown in Figure 6–40. The surface between the two blocks is rough, however, with a coefficient of static friction equal to 0.47. (a) If a horizontal force F is applied to the 5.0-kg bottom block, what is the maximum value F can have before the 2.0-kg top block begins to slip? (b) If the mass of the top block is increased, does the maximum value of F increase, decrease, or stay the same? Explain.
ANSWER:
Solution 87 GP:
Step 1 of 3:-
a)
Here we have to find the maximum force applied horizontally, before the 2 kg block begins to slip.
The free body diagram is given below.
When the force is applied, the block 1 will start to slide according to the static friction between them.
The equations of motions will be,
---------(1)
-----------(2)
----------(3)
------------(4)
------------(5)
------------(6)