Answer:
True - Archimedes Principle states that the buoyant force on an object is equal to the weight of the liquid displaced.
Answer:
(a) 
(b) 
Solution:
As per the question:
Mass of the object, m = 1.30 kg
Length of the rod, L = 0.780 m
Angular speed, 
Now,
(a) To calculate the rotational inertia of the system about the axis of rotation:
Since, the rod is mass less, the moment of inertia of the rotating system and that of the object about the rotation axis will be equal:

(b) To calculate the applied torque required for the system to rotate at constant speed:
Drag Force, F = 

This question involves the concepts of centripetal force, range of projectile and projectile motion.
The magnitude of centripetal force is "2812.8 N".
First, we will find the velocity of the ball by using the formula of the range of the projectile.

where,
R = range of projectile = 86.75 m
v = speed = ?
θ = launch angle = 47.9°
g = acceleration due to gravity = 9.81 m/s²
Therefore,

v = 29.25 m/s
Now, we will use the formula to find out the centripetal force:

where,
= Centripetal Force = ?
m = mass of the ball = 7.3 kg
v = speed = 29.25 m/s
r = radius = 2.22 m
Therefore,

<u>Fc = 2812.8 N = 2.812 KN</u>
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