30 Questions
If a box weighing 1 ton is placed on a floor with a coefficient of friction of 1/4, what is the minimum force required to start the box moving?
600 Kgf
A block of mass 2 Kg slides down a rough inclined plane starting from rest at the top. If the inclination of the plane to the horizontal is θ with tan θ = 4, what is the acceleration of the block?
6.1 m/s^2
A force of 600 Kgf is required to support a block on an inclined plane whose slope is 60°. What is the weight of the block?
1 ton
If the coefficient of friction between the floor and a box is 1/3, what is the minimum force required to start the box moving if the box weighs 2 tons?
667 Kgf
A block is placed on a rough inclined plane whose slope is 30°. If the coefficient of friction is 1/3, what is the force required to support the block?
2/3 W
If three forces acting at a point are in equilibrium, what is the relationship between the forces?
Each force is proportional to the sine of the angle between the other two.
What is the resultant of the forces acting on a particle represented by ABCDE?
3 AE
What is the condition for equilibrium of three forces acting at a point?
The forces are proportional to the sine of the angles between them.
What is the moment of a couple about a point?
The sum of the moments of the forces about the point.
If a horizontal force F is applied to a small object P of mass m on a smooth plane inclined to the horizon at an angle θ, what is the condition for equilibrium?
F = mg tan θ
What is the branch of mechanics that deals with the study of systems of forces in equilibrium?
Statics
What are the four necessary things to specify a force completely?
Magnitude, direction, sense, and point of application
What is the resultant of two forces, P and Q, acting at a point, represented by the diagonal of the parallelogram?
The vector sum of P and Q
If two forces, P and Q, are perpendicular to each other, what is the resultant force?
$\sqrt{P^2 + Q^2}$
If P = Q, what is the angle that the resultant force makes with the direction of force P?
$\alpha/2$
What is the magnitude of the moment of a force about a point O?
F.p
If P is moved parallel to itself through a distance x, what is the expression for the resultant of P and Q?
Px P+Q
What is the S.I unit of moment of a force?
Newton-meter
What does the moment of a force about a point measure?
Tendency of the force to cause rotation about that point
What is the expression for the moment of a force about a point O in terms of the area of the triangle formed by the force and the point?
2 × (area of the triangle)
What is the direction in which the force F1 tends to turn the lamina?
Clockwise
What is the algebraic sum of the moments of any two coplanar forces about a point, according to Varignon's theorem?
Zero about any point in their plane
What is the characteristic of a couple that distinguishes it from other systems of forces?
The forces are equal and unlike, but do not have the same line of action
What is the physical quantity that is considered positive when its direction is anticlockwise, and negative when its direction is clockwise?
Moment
What is the term for the perpendicular distance between the lines of action of the forces forming a couple?
Arm of the couple
What is the direction of the resultant force when two forces of equal magnitude act at an angle?
Perpendicular to the bisector of the angle between the two forces
What is the condition for the resultant of two forces P and Q to act along the direction of P?
P > Q
What is the component of a force R in a direction making an angle α with the line of action of R?
R sin α
What is the resultant of two forces P and Q acting at a point O in directions OA and OB, represented by λ.OA and μ.OB respectively?
(λ + μ).OC
What is the angle made by the resultant force with the direction of force P when the resultant force R of two forces P and Q acting at an angle α makes an angle θ with the direction of P?
tan^(-1)(Q sin α / P + Q cos α)
Learn the basics of statics, a branch of mechanics that deals with forces in equilibrium. Understand the concepts of matter, force, and its characteristics. Prepare to tackle problems involving forces and motion.
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