Complete the following statement: The moment of a force about a point is multiplied by Fig. 10.1 shows a uniform iron bar B of weight 30 N and length 1.40 m. The bar ie g. 10 d to lift one edge of a concrete slab S. A stone, placed 0.20 m from one end of B acts as a pivot. A force of 40 N pushing down at the other end of B is just enough to lift the slab and hold it as shown. 1.40m 0.20m concrete slab S. iron bar B force 40N stone
Angular Momentum
The momentum of an object is given by multiplying its mass and velocity. Momentum is a property of any object that moves with mass. The only difference between angular momentum and linear momentum is that angular momentum deals with moving or spinning objects. A moving particle's linear momentum can be thought of as a measure of its linear motion. The force is proportional to the rate of change of linear momentum. Angular momentum is always directly proportional to mass. In rotational motion, the concept of angular momentum is often used. Since it is a conserved quantity—the total angular momentum of a closed system remains constant—it is a significant quantity in physics. To understand the concept of angular momentum first we need to understand a rigid body and its movement, a position vector that is used to specify the position of particles in space. A rigid body possesses motion it may be linear or rotational. Rotational motion plays important role in angular momentum.
Moment of a Force
The idea of moments is an important concept in physics. It arises from the fact that distance often plays an important part in the interaction of, or in determining the impact of forces on bodies. Moments are often described by their order [first, second, or higher order] based on the power to which the distance has to be raised to understand the phenomenon. Of particular note are the second-order moment of mass (Moment of Inertia) and moments of force.
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Fig. 11.4
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Complete the following statement:
10
The moment of a force about a point is
multiplied by
(h Fig 10.1 shows a uniform iron bar B of weight 30 N and length 1.40 m. The bar i
of B acts as a pivot. A force of 40 N pushing down at the other end of B is jue rend
to lift the slab and hold it as shown.
1.40 m
|0,20 m
iron bar B
force 40N
concrete slab
stone
Fig. 10.1
(i)
On Fig. 10.1, draw an arrow to show the weight of bar B acting from its centre of
mass.
(ii)
State the distance d of the centre of mass of bar B from the pivot (the stone).
d =
(ii) Calculate the total clockwise moment, about the pivot, of the forces acting on
bar B.
Total clockwise moment =
(iv) Calculate the downward force which the slab S exerts on the end of bar B.
Force =
(v) Hence deduce the upward force which the stone exerts on bar B.
Force =
(vi) Suggest a change to the arrangement in Fig. 10.1 that would reduce the force
required to lift the slab.
PHY310@HCIS
Moments and Hooke's Law
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