Answer:

Explanation:
From the question we are told that:
Mass of pulley 
Radius 
Mass of block A 
Mass of block B 
Spring constant
Generally the equation for Torque is mathematically given by
Since 
At mass A

At mass B

At Pulley


Therefore the equation for total force F
At mass A+At mass B+At Pulley




Since From above equation

Therefore



Generally the equation for frequency is mathematically given by


Answer:
194 kg m²
Explanation:
Use parallel axis theorem:
I = I₀ + mr²
I = 25 kg m² + (1 kg) ((5 m)² + (12 m)²)
I = 25 kg m² + 169 kg m²
I = 194 kg m²
Answer:

Explanation:
F₁ = Force on one side of the jack
A₁ = Area of cross-section of one side of the jack
F₂ = Force on second side of the jack
A₂ = Area of cross-section of second side of the jack = 2 A₁
Using pascal's law




I think its a higher frequency
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



