Question

1. Draw the following vectors and the resultant and calculate the magnitude and direction. Velocities of: 3m/s at 18° and 7m/s at 115° when acting simultaneously on a point. (7.27m/s at 90.8°) 2. A ship heads in a direction of E 20°S at a speed of 20 knots while the current is 4 knots in a direction of N 30° E. Draw the two vectors and the resultant. [21.07 knots, E 9.22° S] 3. An object is acted upon by two forces of magnitude 10N and 8 N at an angle of 60' to each other. Draw the two vectors and the resultant. [15.62N at 26.33º to the 10N force] 4. Three forces of 2 N, 3 N and 4 N act as shown below: Calculate the magnitude of the resultant and it's direction relative to the 2 N force. [6.24 N at 76.10°] 4N 60° 3N 60° 2 N 5. Acceleration of a = 1.5 m/s2 at 90° and b = 2.6 m/s2 at 145º act at a point. Draw a diagram and find a - b. [2.13 m/s2 at 0°) 6. Calculate the resultant of V3-02 + v, whenvi = 15m/s at 85, V2 = 25m/s at 175° and V3 = 12m/s at 235º. (19.55 m/s at 8.63]

Answer 1

i llisa 65 D ISO 30ls V = 3 cosisi + 3 Smisj V, 2-7 cosesi + 7 sincsj Vi + V2 = (360318-7c0365)i + (36718479165) Vit v = -0.105 i +7.27 Ivit vela velosy+ (3627) >> 7.27 m/s. Baztan ( 7o ) » 90.829 Scanned with CamScanner