FACULTY: TUTORIAL SHEET Review Date:01/03/2014

School/ Department: SOET/MechanicalClass: B.Tech. (ME)Subject Name: Engineering MechanicsSubject Code: MEL205Unit/ Title: Introduction to Mechanics

Tutorial sheet no: 1-aName of faculty: Abhishek Pratap SinghSemester: III

Learning objectives: After solving this tutorial you will be able to calculate the resultant force and equilibrant forces.

Q. 1 - Two locomotive on opposite banks of a canal pull a vessel moving parallel to the banks by means of two horizontal ropes. The tensions in these ropes are 2000 N and 2400 N while the angle between them is 60º. Find the resultant pull on the vessel and the angle between each of the ropes and the sides of the canal.

Fig. 1

Q. 2 - Figure 2 shows two position vectors of magnitudes A= 60 ft and B =100 ft. (A position vector is a vector drawn between two points in space.) Determine the resultant and equilibrant.

Fig. 2Q. 3 - The two tugboats apply the forces P and Q to the barge, where P =76 kN and Q =52 kN. Determine the resultant and equilibrant of P and Q.

Fig. 3

Q. 4 - A car is made to move by applying resultant force R = 2000 N along x-axis. This resultant is developed due to two pulling forces F1 and F2 on two ropes as shown in Fig. 4. Determine the tension in individual ropes.

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Fig. 4

Q. 5 - Determine the magnitudes F1 and F2 of the components of force F with magnitude F = 5 kN in the directions f1 and f2 (Fig. 5).

Fig 5

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