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Physics / Physics for Scientists and Engineers: A Strategic Approach with Modern Physics 4 / Chapter 5 / Problem 32

Physics for Scientists and Engineers: A Strategic Approach with Modern Physics | 4th Edition | ISBN: 9780133942651 | Authors: Randall D. Knight (Professor Emeritus)

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Solved: (Ill) A 4.0-kg block is stacked on top of a

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QUESTION:

(Ill) A 4.0-kg block is stacked on top of a 12.0-kg block,which is accelerating along a horizontal table at a = 5.2 m/s2(Fig. 5-40). Let ^ = /jls = /jl. (a) What minimum coefficientof friction /x between the two blocks will prevent the 4.0-kgblock from sliding off? (b) If \x is only half this minimumvalue, what is the acceleration of the 4.0-kg block with respectto the table, and (c) with respect to the 12.0-kg block?(d) What is the forcethat must be applied tothe 12.0-kg block in (a)and in (b), assuming thatthe table is frictionless?

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QUESTION:

(Ill) A 4.0-kg block is stacked on top of a 12.0-kg block,which is accelerating along a horizontal table at a = 5.2 m/s2(Fig. 5-40). Let ^ = /jls = /jl. (a) What minimum coefficientof friction /x between the two blocks will prevent the 4.0-kgblock from sliding off? (b) If \x is only half this minimumvalue, what is the acceleration of the 4.0-kg block with respectto the table, and (c) with respect to the 12.0-kg block?(d) What is the forcethat must be applied tothe 12.0-kg block in (a)and in (b), assuming thatthe table is frictionless?

ANSWER:

Step 1 of 6

The free body diagram of the both the blocks system is shown as,

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