Laws of Motion 3 Question 23
24. Two blocks connected by a massless string slides down an inclined plane having an angle of inclination of . The masses of the two blocks are and respectively and the coefficients of friction of and with the inclined plane are 0.75 and 0.25 respectively. Assuming the string to be taut, find (a) the common acceleration of two masses and (b) the tension in the string. Take
(1979)
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Answer:
Correct Answer: 24. (a)
(b)
Solution:
- Maximum force of friction between
and inclined plane
Maximum force of friction between
Both the blocks will be moving downwards with same acceleration
Equation of motion of
Equation of motion of
Solving Eqs. (i) and (ii), we get
(a) Force required to move the block down the plane with constant velocity.
Since
(b) Force required to move the block up the plane with constant velocity.