Concept explainers
a.
The acceleration of the blocks.
a.
Answer to Problem 87A
Explanation of Solution
Given:
The mass of the block on the plane,
The mass of the hanging block,
The coefficient of the kinetic friction between the block and the plane,
Formula used:
Newton’s Second law,
And, the kinetic friction acting on the object is given by,
Where,
Calculation:
Let the hanging blockbe moving downwards with the acceleration
Now, the weight of the block on the plane will act in vertical downwards direction, dividing its weight into rectangular components as,
1st component: Acting down the plane, parallel to it,
2nd component: Acting perpendicular to the plane, in downwards direction,
Where
Since the block is not moving in the perpendicular direction of the plane, thus the normal force acting on the block will be balanced by the 2nd component of weight, that is,
Then, the friction acting on the block will be,
Now, consider the motion of the block, up the incline. Then,
Now, consider the motion of the hanging block as,
Using equation (1) in above,
Using given and known values in above,
Conclusion:
Thus, the acceleration of the block is
b.
The tension in the string connecting the blocks.
b.
Answer to Problem 87A
Explanation of Solution
Given:
The mass of the block on the plane,
The mass of the hanging block,
The coefficient of the kinetic friction of the plane,
From part (a), the acceleration of the block,
Formula used:
Newton’s Second law,
And, the kinetic friction acting on the object is given by,
Where
Calculation:
From part (a), the Tension in the string is given in terms of
Then using the given and calculated values in above,
Conclusion:
Thus, the tension in the string connecting the blocks is
Chapter 5 Solutions
Glencoe Physics: Principles and Problems, Student Edition
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