You place a box weighing 268.3 N on an inclined plane that makes a 42◦ angle with the horizontal.
1 answer:
Answer:
Wy = - 268.3*cos(42) = - 199.38 [N]
Wx = 268.3*sin(42) = 179.52 [N]
Explanation:
To solve this problem we must make a free body diagram, in the attached image we can see a free body diagram.
Taking the inclined X & y axes with the same angle of 42°, we can see that the weight can be decomposed on both axes.
Since the angle is adjacent to the y-axis, we can use the cosine function
Wy = - 268.3*cos(42) = - 199.38 [N]
Wx = 268.3*sin(42) = 179.52 [N]
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Answer:
YOUR answer is given below:
Explanation:
(a) 252 N, opposite to the applied force
There are two forces acting on the refrigerator in the horizontal direction:
- the pushing force of 252 N, F, forward
- the frictional force, Ff, pulling backward
In this case, the refrigerator is not moving: this means that its acceleration is zero. According to Newton's second law, this also means that the net force acting on the refrigerator is also zero:
So we have
which means that the frictional force is equal in magnitude to the pushing force:
and the direction is opposite to the pushing force.
(b) 334.8 N
The force that must be applied to the refrigerator to make it moving is equal to the maximum force of friction, which is given by:
where
is the coefficient of static friction
m = 56 kg is the mass of the refrigerator
g = 9.8 m/s^2 is the acceleration of gravity
Substituting:
F_max = (0.61)(56 kg)(9.8 m/s^2)=334.8 N