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In Fig. object B weighs 94.0 lb and object A weighs 29.0 lb. Between object B and the plane the coefficient of static friction is 0.56 and the coefficient of kinetic friction is 0.25. (a) Find the acceleration of the system if B is initially at rest. (b) Find the acceleration if B is moving up the plane. (c) What is the acceleration if B is moving down the plane? The plane is inclined by 42.0°

In Fig. object B weighs 94.0 lb and object A weighs 29.0 lb. Between object B and the plane the coefficient of static friction is 0.56 and the coefficient of kinetic friction is 0.25. (a) Find the acceleration of the system if B is initially at rest. (b) Find the acceleration if B is moving up the plane. (c) What is the acceleration if B is moving down the plane? The plane is inclined by 42.0°

Grade:upto college level

1 Answers

Navjyot Kalra
askIITians Faculty 654 Points
6 years ago
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It can be seen that the tension in the string when the object B experiences maximum friction is 23.77 lb which is smaller than the weight of object A (29.0 lb). Therefore the object A will not move and the acceleration of the system will be zero .



232-555_1.PNG
The negative sign in the answer highlights the fact that the blocks will decelerate and come to rest lately.
232-2086_1.PNG
The positive acceleration highlight that the block B will continue to move downward and get faster and faster over time.

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