First Half of Chapter 6: General Vectors Questions
Diagram for Question 1 is on right
1. Given that the vector AD is equal to 3/5 of the vector BC, prove that the vector AE is equal to 5/8 of the vector AD plus 3/8 of the vector AB
Video Solution
1. Example 2 on Page 355 - Two forces of 20 N and 40 N act at an angle of 30 degrees to each other. Determine the resultant of these two forces.
2. Example 3 on Page 358 - Kayla pulls on a rope attached to her sleigh with a force of 200 N. If the rope makes an angle of 20 degrees with the horizontal, determine:
a) the force that pulls the sleigh forward
b) the force that tends to lift the sleigh
Video Solution to Number 1 and 2 above
3. A 75 kg mass is suspended from a ceiling by two lengths of rope that make angles of 50 degrees and 35 degrees with the ceiling. Determine the tension in each rope. Answer: approx. 605 N up the rope that is 50 degrees to the ceiling, and approx. 475 N up the other rope. Video Solution to Number 3
4. Three forces of 7 Newtons, 9 Newtons and 12 Newtons are in equilibrium. What is the angle between the two largest forces? Answer: 144.6 degrees Video Solution to Number 4 by Student.
Chapter 7.2: Velocity Questions
1. An airplane is traveling at a velocity of 450 km/h [S 20 degrees E] when it encounters a wind with a velocity of 140 km/h [N 40 degrees E]. What is the ground velocity of the airplane? Answer: approximately 398.9 km/h [S 37.7 degrees E] video solution
2. An airplane is traveling at a ground velocity of 320 km/h [N 15 degrees W] in a wind-free environment. The plane then encounters a wind which changes its ground velocity to 340 km/h [N 35 degrees W]. What is the velocity of the wind? Answer: approximately 116.3 km/h [W 15.2 degrees S] video solution
3. An airplane is traveling S35oW with a ground speed of 270 km/h. The nose of the plane is actually pointing S22oW with an airspeed of 262 km/h. What is the velocity of the wind? Answer: Approximately 60.75 km/h, [E 69 degrees S] video solution to Number 3 by student