Assignment 2
1. A wheel has five equally spaced radial spokes, all in tension. If the tensions of three
consecutive spokes are 600N, 700N and 500N respectively, find the tensions in the
other two spokes
Fig 1
Let the other tensions be P1 and P2?
[5]
2. A machine weighing 1500N is supported by two chains attached to some point on the
machine. One of these ropes goes to the eye bolts in the wall and is inclined 30
degrees to the horizontal and the other goes to the hook in ceiling and is inclined at 45
degrees to the horizontal . Find the tension in the two chains
Fig 2
Let the tensions be T1 and T2?
[5]
3. The lever LMN of a component of a machine is hinged at M, and is subjected to a
system of coplanar forces as shown in Fig 3 Below. Neglecting Friction determine
a) The magnitude of the force P to keep the lever in equilibrium
b) The magnitude and direction of the reaction at M
[5]
Fig 3.
4. Determine the centre of gravity of the cross section shown below
Fig 4.
[5]
5. Determine the centre of gravity of a homogeneous solid body of revolution as shown
in fig 5 below?
[5]
6.
Fig 6a.
Find the moment of inertia about the centroidal axes XX and YY of the two diagrams shown
below?
[10]
Fig 6b
7. Find the force required to move a load of 300N up a rough inclined plane, the force being
applied parallel to the plane. The inclination of the plane is such that when the same body is
kept on a perfectly smooth plane inclined at an angle , a force of 60N applied at an
inclination of 30 degrees to the plane keeps the same in equilibrium. Assume that co
efficient of friction between the rough plane and load is equal to 0.3.
[5]
8. A system consisting of two blocks connected by a cable is as shown in Fig 7 below. The
masses of block A and block B are 7.5 kg and 25kg respectively. Determine the magnitude of
the minimum force and its inclination with reference to the horizontal , to be applied on
Block B. the block have impending motion towards the right. Take the coefficient of friction
at all contact surfaces to e 0.28?
[5]
Fig 7.
9.
9.