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- Knowing that the resultant of the two forces is directed along AB, determine F2.Knowing that the resultant of the two forces is vertical, determine the angleTo move the oil drum, the resultant of the three forces shown must have a magnitude of 500 N. Determine the magnitude and direction of the smallest force F that would cause the drum to move.
- The 3200-1b weight is supported by two cables. Knowing that the resultant of the cable tensions T1 and T2 is a vertical 3200-lb force, determine T1 and T2.Three ropes support the weight at A. The tension in ropes AB and AC is 15 lb. Determine the tension Tin the third rope, knowing that the resultant of the three tensions is vertical.The bar AB, which is inclined at the angle to the horizontal, is subjected to the four forces shown. Knowing that these forces have no resultant (neither a force nor a couple), determine P1,P2, and .
- The 300-lb force is to be resolved into components along lines a–a′ and b–b′. (a) Determine the angle α by trigonometry, knowing that the component along line a–a′ is to be 240 lb. (b) What is the corresponding value of the component along b–b′?Force F has components in the a- and b- directions such that Fa+Fb=F. The a- and b- directions are not orthogonal. Determine the scalar components of F in the a- and b- directions, knowing that the magnitude of F is 1600 lbs and angle θa=150∘ and θb=100∘.A beam supports three loads of given magnitude and a fourth load whose magnitude is a function of position. If b = 1.5 m and the loads are to be replaced with a single equivalent force, determine (a) the value of a so that the distance from support A to the line of action of the equivalent force is maximum, (b) the magnitude of the equivalent force and its point of application on the beam.
- A disc is subjected to four forces as shown. Determine the magnitude and direction of the resultant and the location of its line of action.The 200-N force is to be resolved into components along lines a-a’ and b-b’. (a) Determine α knowing that the component along a-a’ is 150 N. (b) What is the corresponding value of the component along b-b’?A force and couple act as shown on a square plate of side a=25 in. Knowing that P=60 lb, Q=40 lb, and α=50°, replace thegiven force and couple by a single force applied at a point located(a) on line AB, (b) on line AC. In each case determine the distance from A to the point of application of the force.