Vectors and Equilibrium

Physics, HSSC-KPK First Year. This chapter is split into 42 topics and has 1,004 practice questions. The topics covered are listed below, followed by 10 free sample questions from the chapter.

Topics in this chapter

1. Vectors: Definition, Representation & Cartesian Coordinate System 24 questions
2. Vector Addition: Head-to-Tail Rule & Properties 24 questions
3. Vector Subtraction & Scalar Multiplication 20 questions
4. Resolution of Vectors & Rectangular Components 24 questions
5. Addition of Vectors by Rectangular Components 24 questions
6. Scalar (Dot) Product of Vectors 22 questions
7. Vector (Cross) Product of Vectors 22 questions
8. Concurrent Forces & Torque/Moment of Force 24 questions
9. Equilibrium: Types & Conditions 26 questions
10. Applications: Diving Board & Equilibrium Problems 20 questions
11. Rectangular Components of a Vector: Numericals 25 questions
12. Finding the x or y Component of a Vector 25 questions
13. Magnitude of a Vector from Its Components 25 questions
14. Direction of a Vector from Its Components and Quadrant 25 questions
15. Resultant of Two Forces by Rectangular Components: Magnitude 25 questions
16. Resultant of Two Forces by Rectangular Components: Direction 25 questions
17. Resultant of Three or More Concurrent Forces 26 questions
18. Vector Subtraction Numericals: A − B 26 questions
19. Resultant of Two Vectors with a Given Angle Between Them 25 questions
20. Range of Possible Resultants and Balancing Forces 25 questions
21. Vectors in i, j, k Form: Magnitude, Sum and Scalar Multiples 25 questions
22. Scalar Product A · B = AB cosθ: Numericals 25 questions
23. Finding the Angle Between Vectors from Products and Directions 25 questions
24. Vector Product |A × B| = AB sinθ: Numericals 25 questions
25. Dot and Cross Products of the Same Pair of Vectors 25 questions
26. Relations Between Dot and Cross Products 25 questions
27. Products of Unit Vectors and of Vectors in Component Form 25 questions
28. Torque Numericals: τ = rF sinθ = Fd 26 questions
29. Net Torque, Couples and Counterweights 25 questions
30. Balancing a Metre Stick About a Knife-Edge 22 questions
31. Uniform Plank Hinged at One End and Held by a Rope 22 questions
32. Diving Board with Fulcrum and Bolt: Reaction Forces 25 questions
33. Ladder Against a Frictionless Wall 24 questions
34. Tension in Ropes Supporting a Hanging Weight 25 questions
35. Equilibrant of Concurrent Forces 25 questions
36. Uniform Beam on Two Supports Carrying a Load 25 questions
37. Scalar and Vector Quantities: Classification Questions 20 questions
38. Properties and Rules of Vector Algebra 20 questions
39. Scales, Cartesian Representation and Quadrants 27 questions
40. Right-Hand Rule, Direction of Cross Products and Torque 20 questions
41. Types of Equilibrium: Classifying Situations 20 questions
42. Conditions of Equilibrium: Reasoning with Forces and Torques 21 questions