Answer:
Part a)
Part b)
Part c)
Part 4)
angular acceleration will be ZERO
Part 5)
Explanation:
Part a)
Moment of inertia of the system about left end of the rod is given as
So we have
Part b)
If force is applied to the mid point of the rod
so the torque on the rod is given as
now angular acceleration is given as
Part c)
position of center of mass of rod and sphere is given from the center of the sphere as
so moment of inertia about this position is given as
so we have
Part 4)
If force is applied parallel to the length of rod
then we have
so angular acceleration will be ZERO
Part 5)
moment of inertia about right edge of the sphere is given as
so we have
The potato reach a velocity of 0 m/s after 3.57 s
Explanation:
There is only one force acting on the potato, which is in free fall: the force of gravity, acting downward. Therefore, the motion of the potato is a free fall motion with constant acceleration equal to the acceleration of gravity, and we can use the suvat equation:
where
v is the final velocity
u is the initial velocity
is the acceleration of gravity (negative since downward)
t is the time
For the potato in this problem:
u = +35 m/s
So the time t at which the velocity reaches
v = 0
is
Learn more about free fall here:
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Answer:
Explanation:
By the Law of Sines,
From Newton's Law,
And the last equation again from Newton's Law,
Then if we collect all equations together,
Thus,
Answer:
The magnitude of the force is 124.23 N.
Explanation:
To known the magnitude of the force is necessary to find the acceleration, that can be done by means of the equations for a a Uniformly Accelerated Motion:
(1)
Where is the final velocity, is the initial velocity, a is the acceleration and t is the time.
(2)
(3)
By replacing (2) in equation (3) it is gotten:
Therefore, by subtracting the first and third term ( ⇒ ) it is got:
Applying common factor for :
(4)
Equation (4) can be rewritten in terms of t:
By knowing the time is possible to determine the acceleration by means of equation (2):
The magnitude of the force exerted by the person on the block can be determine by means of Newton's second law:
(5)
<u>Hence, the magnitude of the force is 124.23 N.</u>