Engineering Mechanics Tutorial Sheet 1
for BCE 080 batch
1. Two forces are applied as shown to a hook. Determine the resultant
using Parallelogram law, triangle law and graphical method. [R =1391
N ∡ 47.8°]
2. A stake is being pulled out of the ground by means of two ropes as
shown. Knowing that α = 30°, determine by trigonometry (a) the
magnitude of the force P so that the resultant force exerted on the stake
is vertical, (b) the corresponding magnitude of the resultant. [P = 101.4
N, R = 196.6 N]
3. A disabled automobile is pulled by means of two ropes as shown. The
tension in rope AB is 2.2 kN, and the angle α is 25°.
Knowing that the resultant of the two forces applied at
A is directed along the axis of the automobile,
determine by trigonometry (a) the tension in rope AC,
(b) the magnitude of the resultant of the two forces
applied at A. [TAC = 2.60 kN, R = 4.26 kN]
4. Determine the X and Y component of each of the force
and the resultant. [R=251N∡94.7]
5. Two cables are tied together at C and are loaded as shown. Knowing that P = 300 N, determine the
tension in cables AC and BC. [ TAC =134.6 N, TBC=110.4 N]
Fig:4
Fig:5
6. A welded connection is in equilibrium under the action of the four forces shown. Knowing that FA=8 kN
and FB=16 kN, determine the magnitudes of the other two forces. [FC=6.4, FD=4.8kN]
Prepared By: Sudan Neupane: Lecturer, Department of Industrial Engineering, IOE Thapathali Campus
Engineering Mechanics Tutorial Sheet 1
for BCE 080 batch
7. Two cables are tied together at C and are loaded as shown. Determine the range of values of P for which
both cables remain taut. [179.3<P<669.20]
Fig:6
Fig:7
8. Resolve F2 into components along the u and v axes and determine the magnitudes of these components.
[Fu =150lb and Fv =260lb]
9. If the resultant force is required to act along the positive u axis and have a magnitude of 5 kN, determine
the required magnitude of FB and its direction θ. [2.83kN,62o]
Fig: 8
10. The truck is to be towed using two ropes. If the resultant
force is to be 950 N, directed along the positive x axis,
determine the magnitudes of forces FA and FB acting on
each rope and the angle of FB so that the magnitude of FB
is a minimum. FA acts at 20° from the x axis as shown.
[FA=893N, FB=325N θ=70o]
Fig:9
Prepared By: Sudan Neupane: Lecturer, Department of Industrial Engineering, IOE Thapathali Campus