MECHANICAL TECHNOLOGY 1
MTCH102
Tutorial 1B
1. Four forces (including the weight of the cylinder) are applied to a ring at point A as shown. If
the system is in equilibrium, determine the magnitude and direction of the unknown force T.
The weight of the cylinder (a vertical force) is 1000 lb.
Figure 1
2. The system shown in figure 2, P = 75 N and Q = 125 N. Determine the resultant
Figure 2
3. Two cables support the traffic light weighing 7.5 kg as shown in figure 3. Determine the
tension in the cables AB and BC.
Figure 3
4. A belt passes over a drum as shown in figure 4. A force P of magnitude 25 lb is applied
to the bar AD. Determine the maximum clockwise moment that can be applied to the
drum at E without the belt slipping around the drum, knowing the coefficient of friction
between the belt and the drum is 0.25, and that a = 4 inches.
Figure 4
5. The system shown in figure 5, for the equilibrium condition, calculate the tensions in
all the chords.
Figure 5
6. Determine the tension in cables AB and AD as shown in figure 6, for equilibrium of the 250
kg engine.
Figure 6
7. The uniform 30 kg bar AB as shown in figure 7, is supported by a cable at A and a frictionless
surface at B. Find the distance d where the 5 kg lock C must be placed for the bar to be at rest
on the horizontal position shown
Figure 7
8. The mass of the homogenous bar AB is 50 kg. The coefficient of static friction at the
two surfaces (labelled 1 and 2) are as shown in figure 9. Determine the weight of the
heaviest block C that can be supported as shown in figure 8.
Figure 8
9. Determine the tension in each cable as shown in figure 9 and the weight of B
Figure 9
10. Consider a deck beam of mass 45 kg with a 90 kg man standing near the edge as shown
in figure 10. Calculate the reactions forces at the pin support at point A and the roller
support at point B.
Figure 10
11. A lifting mechanism shown in figure 11, calculate the forces at points A and B, given
that a = 2.8 m, b = 3 m and = 5 m
Figure 11
12. Consider a uniform beam of weight 4.5 KN with various forces acting on it as shown
in figure 12. Calculate the reactions forces at the supports.
Figure 12
13. A lifting mechanism consist of a motor rotating a bar with a roller on its end as shown
in figure 13. Calculate the reaction forces at points A and B as the angle changes from
0 to 90o in increments of 10 degrees. Assume W = 1000 lb and that the centre of mass
of the bar is at its geometric centre. The relation of θ to
and β is given as:
  tan 1
sin 
and
 cos   1

2sin 
sin 
Figure 13