See the free-body diagram in attachment. (please rotate it such that N points upward)
Explanation:
The free body diagram (FBD) of an object is a diagram representing all the forces acting on a body. Each force is represented using an arrow, where:
- The length of the arrow is proportional to the magnitude of the force
- The direction of the arrow shows the direction of the force
In this problem, we have 3 forces acting on the cake:
- The force of gravity, downward, of magnitude (mg) (where m is the mass of the cake and g is the acceleration of gravity), equal to 8.9 N
- The force exerted by the knife on the cake, F = 2.1 N, acting downward
- The normal reaction exerted by the plate on the cake, N = 11.0 N, acting upward
The 3 forces are shown in the diagram attached. We also notice that the vector sum of all the forces is zero, in fact:
This means that the acceleration of the cake is zero, so the cake is in equilibrium.
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Answer:
Explanation:
Given:
<u>Now the radius of revolution of the ball:</u>
<u>Now in this case the centrifugal force is equal to the spring force:</u>
where:
m = mass of the ball
k = spring constant
<u>Now the extension in the spring upon hanging the ball motionless:</u>