ME 104 Tutorial-1
1. Consider tugboats A and B respectively in the water medium pulling block C as shown in the figure
below. Solve the following.
a. If the resultant force of the two tugboats is 3kN, directed along the positive x-axis, determine the
required magnitude of FB and its direction ϴ
b. If the FB = 3kN and ϴ = 45°, determine the magnitude of the resultant force of the two tugboats
and its direction measured clockwise from the positive x-axis.
c. If the resultant force of the two tugboats is required to be directed towards the positive x-axis, and
FB is to be a minimum, determine the magnitude of FR and FB and the angle ϴ.
2. The jib crane shown in the figure below is subjected to three coplanar forces. Replace this loading with
an equivalent resultant force and specify where the resultant’s line of action intersects the column AB
and boom BC.
Instruction: Don’t convert the units
Hint:
1. For force, consider the force only which can intersect the column AB and boom BC.
2. From hint 1 solve the moments, assuming the distance as a constant variable.
3. The pipe shown in the figure below is subjected to the force of F = 80 lb. Determine the angle ϴ
between F and the pipe segment BA and the projection of F along this segment.
4. A bracket is subjected to a coplanar force system as shown in the figure below.
a. Determine the magnitude of the resultant force and its location from point A.
b. If the resultant is to pass through point B, what should be the magnitude and direction of the applied
couple M ?
5. Find the resultant of a set of coplanar forces acting on a lamina as shown in the figure below. Each
square has a side of 10 mm. Calculate the distance d of resultant from O ?