Answer:
(a) The "angular speed" is 5.88 rad/s.
Explanation:
Given values,
The length of the bar is L = 2m
The weight of the bar is w = 90 N
The metal bar is hanging vertically from the ceiling by a frictionless pivot
The mass of the ball is m = 3kg
The distance between the ceiling and the ball is d = 1.5m


(a) Calculating the angular speed:




The angular speed is 5.88 rad/s.
(b) The "angular momentum" is conserved because the torque is not exerted by "the pivot" on the system about the "axis of rotation" but the "linear momentum" is not conserved because "the pivot" exerts a "vertical" and a "horizontal force" on the system during the collision.
Answer:
(a)

(b) 

Explanation:
Let us take the north direction to be the positive y-axis and the east to be positive x-axis.
First day:
25.0 km southeast, which implies
south of east. The y-component will be negative and the x-component will be positive.


Second day:
She starts off at the stopping point of last day. This time, both the y- and x-components are positive.


Therefore, total displacements:


Magnitude of displacements,

Direction,

Answer:
the transmission axis of polarizing sheet makes an angle of
with the horizontal
Explanation:
We have given that intensity of light incident on the sheet 
Average intensity of light emerging from a polarizing sheet 
We have to find the angle between transmission axis with the horizontal
Intensity of light polarizing from sheet is equal to 
So 



So the transmission axis of polarizing sheet makes an angle of
with the horizontal