Question

19 and 20 questions 40 points

Answer 1

Final Answer :
α = cos -1( 8/9)

Understanding :

1) For Rod to be in equilibrium,
Net Torque = 0, about pivot point.

2) Torque will be produced by Gravity and Buoyant Force since hinge force are passing through pivot so there will be no contribution from hinge forces.


Formula:


1) In stationary liquid,

Buoyant Force =
Density of liquid * Volume of body submerged * acceleration due to gravity

2)
Length of rod = L = 1m
Density of water = 1000kg/m^3
Density of Rod = 810kg/m^3

Length of rod which is in water = h secα

For Calculation see Pic attached to it.

Answer 2

Answer:

1) For Rod to be in equilibrium,

Net Torque = 0, about pivot point.

2) Torque will be produced by Gravity and Buoyant Force since hinge force are passing through pivot so there will be no contribution from hinge forces.

Formula:

1) In stationary liquid,

Buoyant Force =

Density of liquid * Volume of body submerged * acceleration due to gravity

2)

Length of rod = L = 1m

Density of water = 1000kg/m^3

Density of Rod = 810kg/m^3

Length of rod which is in water = h secα

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