I’m stuck in B and D. which one is it?
2 answers:
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Answer:
In the analytical method,
- Resolve the vectors into the perpendicular components of the Cartesian coordinates.
- Calculate the magnitude of the resultant vector using the Pythagoras theorem.
Explanation:
- There are two methods to find the magnitude of the resultant vector.
- One is the geometrical method and the other one is the analytical method.
- In the geometrical method, all the vectors are connected the head to tail with the appropriate magnitude and the resultant vector is obtained by joining the initial point and the final point by a vector in the reverse direction. The magnitude of the resultant vector is given by the length of the line.
- In the analytical method, all the vectors are resolved into the perpendicular components.
- Using Pythagoras theorem, the magnitude of the resultant vector can be obtained
- If A and B are the two vectors forming an angle ∅ between them, then the magnitude of the resultant vector is given by the formula
Answer:
58.32 N
Explanation:
Area of a circle =
where r is the radius of the circle.
The cylinder has a radius of 0.02 m, its area is;
=
= x
= x 0.0004
= 1.2571 x
Area of the cylinder is 0.0013 .
The safety valve has a radius of 0.0075 m, its area is;
=
= x
= x 5.625 x
= 1.7679 x
Area of the valve is 0.00018 .
From Hooke's law, the force on the safety valve can be determined by;
F = ke
= 950 x 0.0085
= 8.075 N
Minimum force, , required can be determined by;
=
=
=
= 58.32
The minimum force that must be exerted on the piston is 58.32 N.