Answer:
See attached figure
Explanation:
The FBD (Free Body Diagram) of an object represents the forces acting on the object.
In this problem, the squirrel is moving at constant velocity. Constant velocity means that its acceleration, therefore the net force acting on the squirrel must be zero as well, according to Newton's second law:
where F is the net force, m is the mass of the squirrel, a is its acceleration.
There are only two forces acting on the squirrel:
- The force of gravity, also called weight, acting downward, of magnitude (mg) (where m is the mass of the squirrel and g is the acceleration of gravity)
- The air resistance, R, upward
Since the net force is zero, the two forces are balanced, therefore they have same magnitude, and they are represented in the graph as two arrows of same length.
The change in angular displacement as a function of time is the definition given for angular velocity, this is mathematically described as
Here,
= Angular displacement
t = time
The angular velocity is given as
PART A) The angular velocity in SI Units will be,
PART B) From our first equation we can rearrange to find the angular displacement then
Replacing,
Answer:
0.231 N
Explanation:
To get from rest to angular speed of 6.37 rad/s within 9.87s, the angular acceleration of the rod must be
If the rod is rotating about a perpendicular axis at one of its end, then it's momentum inertia must be:
According to Newton 2nd law, the torque required to exert on this rod to achieve such angular acceleration is
So the force acting on the other end to generate this torque mush be:
Explanation:
It is given that, the height of a certain tower is 862 feet i.e to reach on the ground the object should travel, s = 862 feet
The distance traveled by a freely falling object is given by :
t = 7.34 seconds
So, the object will take 7.34 seconds to fall to the ground from the top of the building. Hence, this is the required solution.