Answer: An object
is said to be in equilibrium if is acted upon by two or more force and it does
move or rotate. It shows that the resultant force acting on the system or the
object is equal to zero.
2. What is moment of force about a point?
Answer: The moment of force about a point is the
products of force and the perpendicular distance from the point to the line of
action of force.
3. While is it easier to loosen a nut with a long spanner
than a short one?
Answer: It is
because with a long spanner, a small force you applied can produce a very big
moment, but it is not like that with a short spanner
4. What is a couple?
Answer: A couple is a system of two equal and parallel
but opposite force not acting along the same line. The resultant of the force
is zero, but the resultant moment is not zero.
5. What is the resultant moment of a couple?
Answer: The resultant moment of a couple, is the
products of one of the forces and the perpendicular distance between the lines
of action of the forces.
6. State the principle of moments
Answer: The
principle of moments states that if a body is in equilibrium, the sum of the
clockwise turning moment is equal to the sum of anticlockwise turning moment
about the same point.
7. Using the diagram below find the moment of force 20N about points A and B
Answer: h=3 x cos60 = 3 x 0.5 =1.5m
The moment of force about A =1.5 x 20 =30Nm
The moment of force about B =zero, since the distance from B
is zero = zero
8. What is the magnitude of a couple which act on a rotating circular disc of a radius 2m pivoted at the centre by a tangential force of 4N
Answer: The magnitude of the couple is 2 x 4 = 8N
9. A weightless bar is pivoted at its center and weights of
5N and 10N, placed 3m and 2m respectively from the pivot on one side, are
balanced by a weight of 20N on the other side. How far is the 20N weight from
pivot?
Answer:
Using the principle of momentum, that is the clockwise moment = the anticlockwise
moment, so
CW =ACW =
20x =(5 x 3) + (10 x 2)
20x =15 + 20
20x =30
So the 20N is 1.75m away from the pivot.
10. What is center of gravity, and why is it that when a
body is supported at the center of gravity it remains stable?
Answer: The
center of gravity is defined as the point at which the weights of a body seem
to act toward or concentrated. When a
body is acted upon at this point, it remain stable because that is where the
weight concentrated or balanced
11. Define the followings:
(a).Stable equilibrium
(b). Unstable equilibrium
(c). Neutral equilibrium
Answer; (a). Stable
equilibrium: A body is said to be in a stable equilibrium if it receive slight
displacement and it tends to return to its original position.
(b)
Unstable equilibrium: A body is said to be in an unstable equilibrium when on
receiving a
Slight
displacement tends to r or move further from its original position.
(c). Neutral equilibrium: A body is said to
be on a neutral equilibrium if on receiving a slight
Displacement tend to remain or come to rest in
its new position
12.A uniform bar with weight 20N rest on two support P and Q as shown and weight are suspended as shown in diagram below. Calculate the reactions at P and Q on the support
Answer: Considering the upwards and downwards
forces which are equal and opposite to each other we have
A + Y =15 + 20 + 5 = 40……(1)
Now we take moment at either P or Q, let take moment about P
though if we take moment about Q we are going to arrive at the same result at
the end
Anticlockwise moment = clockwise moment, therefore