PHYSICS - MOTION IN A PLANE - CLASS 11 - ASSIGNMENT 2

PHYSICS 

MOTION IN A PLANE

CLASS 11

ASSIGNMENT 2

This assignment has been designed in a such a way that it covers all the important topics in the chapter - Motion in a plane. Once students are thorough with the concepts and formulae, they will be in a position to do sums based on these concepts. Sums will be published shortly.

1. Describe the necessity for introducing the concept of vectors.

2. Define scalar and vector quantities.  Give examples.

3. The given quantity has both magnitude and direction.  Is it necessarily a vector?

4. Does a scalar quantity depend on the frame of reference chosen?

5. Distinguish between scalars and vectors.

6. Explain with an example the representation of a vector quantity.

7. Distinguish between position and displacement vectors.

8. Define 

    a. Equal vectors

    b. Negative of a vector

    c. Modulus vector

    d. Unit vector

    e. collinear vectors

9. What is meant by polar vectors?  Give examples.

10. What is meant by axial vectors?  Give examples.

11. What is the need of a zero vector?

12. Write the properties of a zero vector.

13. Give two physical examples of a zero vector.

14. Mention the various laws of vector addition.

15. State and illustrate triangle law of vector addition.

16. Why cannot be vectors added algebraically?

17. When is the magnitude of the resultant of two vectors equal to either of them?

18. State the essential condition for the addition of vectors.

19. When can the addition of two vectors be zero?

20. When is the sum of two vectors (i) maximum and (ii) minimum?

21. Can three vectors of different magnitudes be combined to give a zero resultant?

22. State and illustrate parallelogram law of vector addition.

23. Using parallelogram law of vector addition, find the magnitude and direction of their resultant. Discuss the special cases when (i) θ=0° (ii) θ = 180°   and (iii) θ = 90°.

24. What is resolution of a vector? 

25. Prove the uniqueness of resolution.

26. Define orthogonal triad of unit vectors or base vectors.

27. Define rectangular components of a vector. Obtain an equation for a vector in terms of its rectangular components.

28. Define scalar  or dot product of two vectors. Give its geometrical interpretation.

29. Give some examples of physical quantities that may be expressed as the scalar product of two vectors.

30. Mention any 5 properties of the scalar product of vectors.

31. Define vector or cross product of two vectors. How is its direction determined?

32. Give the geometrical interpretation of vector product of two vectors. 

33. Give some examples of physical quantities which ca be expressed as the vector product of two vectors.

34. Mention any 5 properties of the vector product of vectors.

35. Show the position vector for a particle in two dimensional motion.  Write an expression for this position vector.

36. Show graphically the displacement vector for a motion in to dimensions.  Write an expression for the displacement vector in  terms of its rectangular components. 

37. Write an expression for the average velocity in terms of its rectangular components.  Hence write an expression for instantaneous velocity. Find the direction of instantaneous velocity. 

38. Write an expression for average acceleration in terms of its rectangular components.  Hence write an expression for instantaneous acceleration. Find the direction of instantaneous acceleration.