Flag Mechanics> In Fig. object B weighs 94.0 lb and objec...
question mark

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°
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

Amit Saxena , 10 Years ago
Grade upto college level
anser 1 Answers
Navjyot Kalra

Last Activity: 10 Years ago

232-2307_1.PNG
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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