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Fig below shows a mass suspended by wire strops from fixed points A and B. Determine the force in strop AC and the force in strop BC.
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2 partsStep-by-step solution
3 stepsa) Equilibrium is a state where an object experiences no net force and no net torque. This means the object is either at rest (static equilibrium) or moving with a constant velocity (dynamic equilibrium).
Part b· 3 steps
Calculate the weight of the suspended mass.
The mass .
The acceleration due to gravity .
The weight is given by:Identify the angles for Lami's Theorem.
Let be the force in strop AC and be the force in strop BC. The weight acts vertically downwards.
The angles are measured between the lines of action of the forces:- Angle between (strop AC) and (strop BC) is given as .
- Angle between (strop AC) and (vertical downward force): Strop AC makes an angle of with the horizontal. The vertical force is from the horizontal. So, the angle between and is .
- Angle between (strop BC) and (vertical downward force): Strop BC makes an angle of with the horizontal. The vertical force is from the horizontal. So, the angle between and is .
Apply Lami's Theorem.
Lami's Theorem states that for three forces in equilibrium, each force is proportional to the sine of the angle between the other two forces.
Part b(i)
Determine the force in strop AC ().
Using the relation for :
The force in strop AC is .
Part b(ii)
Determine the force in strop BC ().
Using the relation for :
The force in strop BC is .
2 हो गए। आज 3 बाकी — अगला भेजो।
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