Lami's theroem states that three forces acting at a point are always in equilibr

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Question
Lami's theroem states that
Options
A. three forces acting at a point are always in equilibrium
B. if three forces acting on a point can be represented in magnitude and direction by the sides of a triangle, the point will be in the state of equilibrium
C. three coplaner forces acting at a point will be in equilibrium, if each force is proportional to the sine of the angle between the other two
D. three coplaner forces acting at a point will be in equilibrium if each force is inversely proportional to the sine of the angle between the other two
E. none of these.

Correct Answer

three coplaner forces acting at a point will be in equilibrium, if each force is proportional to the sine of the angle between the other two

Applied Mechanics problems

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1. A spring scale in a stationary lift shows a reading of 60 kg for a man standing on it. If the lift starts descending at an acceleration of g/5, the scale reading would be
Options
A. 48 kg
B. 60 kg
C. 72 kg
D. none of these.

2. The following factor affects the orbit of a satellite up to an altitude of 720 km from the earth's surface
Options
A. uneven distribution of the gravitational field
B. gravity of the sun and the moon
C. aerodynamic forces
D. none of these.

4. To avoid bending action at the base of a pier,
Options
A. suspension and anchor cables are kept at the same level
B. suspension and anchor cables are fixed to pier top
C. suspension cable and anchor cables are attached to a saddle mounted on rollers on top of the pier
D. none the these.

6. Which one of the following laws is not applicable to a simple pendulum?.
Options
A. The time period does not depend on its magnitude
B. The time period is proportional to its length l
C. The time period is proportional to l where l is length
D. The time period is inversely proportional to g where g is the acceleration due to gravity.

8. If two forces acting at a point are in equilibrium, they must be equal in magnitude and their line of action must be along
Options
A. the same line in the same sense
B. the same line in opposite sense
C. the perpendicular to both the lines
D. none of these.

9. The following is not a law of static friction :
Options
A. The force of friction always acts in a direction opposite to that in which the body tends to move
B. The force of friction is dependent upon the area of contact
C. The force of friction depends upon the roughness of the surface
D. The magnitude of the limiting friction bears a constant ratio to the normal reaction between two surfaces.

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