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2 answers:
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Answer:
The force is
Explanation:
The diagram for this question is shown on the first uploaded image
From the question we are told that
The weight of the gate is
The vertical component of F is
From the diagram , taking moment about the pivot we have
Where is the weight of the gate evaluated as
=>
=>
=>
Answer:
19.5°
Explanation:
The energy of the mass must be conserved. The energy is given by:
1)
where m is the mass, v is the velocity and h is the hight of the mass.
Let the height at the lowest point of the be h=0, the energy of the mass will be:
2)
The energy when the mass comes to a stop will be:
3)
Setting equations 2 and 3 equal and solving for height h will give:
4)
The angle ∅ of the string with the vertical with the mass at the highest point will be given by:
5)
where l is the lenght of the string.
Combining equations 4 and 5 and solving for ∅:
6)