Examples for Practice [resultant force]

Examples for Practice

Q.1

Determine the magnitude and y-intercept of the resultant of force system acting on the lamina as shown in Fig. 3.10.25.

Q.2

For the non-concurrent coplanar system shown in Fig. 3.10.26 determine the magnitude, direction and position of resultant force with reference to 'A'

 [Ans: Fig. 3.10.12 (a) ]

Q.3

Four forces act on a 700 mm × 375 mm plate

a) Find the resultant of these forces.

b) Locate the point where the line of action of the resultant intersects the edge AB of the plate. (Refer Fig. 3.10.27).

Q.4

Determine the magnitude, direction of the resultant force for the force system shown in Fig. 3.10.28. Locate the resultant force with respect to point 'D'.

[Ans.: Fig. 3.10.28 (a)].

Q.5

ABCD is a square whose sides are 2 m each. Along AB, BC, CD and DA, the forces equal to 1, 2, 8 and 5 and along AC and DB forces equal to 5√2 and 2√2 act respectively. Find the resultant of the force system. All the forces are in kN.

[Ans. : R = 0, M = 16 kN m ]

Q.6

Replace the horizontal 600 N force acting on the lever as shown in Fig. 3.10.29 by an equivalent system consisting of a force and a couple at O.

Q.7

Find the resultant completely for the coplanar force system shown in Fig. 3.10.30.

Q.8

Find magnitude, direction and line of action of the resultant of the coplanar force system consisting of the four forces shown in Fig. 3.10.31.

Q.9

A 150 × 300 mm plate is subjected to four loads. Find the resultant of the four forces and the two points at which the line of action of the resultant intersects the edge of the plate. Refer Fig. 3.10.32.

Q.10

The three forces shown in Fig. 3.10.31 create a vertical resultant acting through point 'B'. If P 361 N, compute values of 'T' and 'F'.

Q.11

Determine the equivalent action as defined by a single force for the force system shown in Fig. 3.10.34.

[Ans. : Fig. 3.10.20 (a)] 

Q.12

Replace the force system acting on the triangular plate, ABC by a single force. Give the point of intersection of the line of action of this force with the vertical edge BC of the plate. Refer Fig. 3.10.35.

Q.13

Forces exerted on the cross-section of a steel channel are shown in Fig. 3.10.36. Replace this system of forces by equivalent single force at point G and determine the distance x of point G from point C.

 [Ans. : x = 40 mm]

Q.14

Three forces are acting along the sides of the triangle as shown in Fig. 3.10.37. Find the direction of resultant and the values of force 'P' if the magnitude of resultant force is 100 N.

Q.15

Three forces of magnitude 100 N each are acting along the sides of an equilateral triangle as shown in Fig. 3.10.38. Determine resultant in magnitude and direction with reference to point A.