Page 2 - HOME ASSIGNMENTS(Motion in a Plane)

7 If the direction of a vector is along the axis of rotation, then the vector
indicates anticlockwise or clockwise ____.

a) rotational effect b) straight line effect
c) parallel effect d) perpendicular effect

8 Explain briefly subtraction of vectors
9 Define a unit vector. How will you represent a unit vector?
10 State the parallelogram law of two vectors. Hence find the magnitude and
direction of the resultant of two vectors A and B in terms of their
magnitudes and angle ϴ between them.
11 State Triangle’s law of vector addition. Find the magnitude and direction
of the Resultant vector by analytical method. Hence obtain the condition
for getting Resultant of Maximum and Minimum magnitude. Represent
them pictorially.
12 Define position vector and displacement vector. A body initially located at
P(1,-2,-1) moved to a point Q(-1,-2,3). Find position vectors of points P
and Q also the displacement vector for the transition from P to Q.
13 If magnitude of sum of two vectors is equal to magnitude of their
difference, than find the angle between the vectors.
14 State the condition of perpendicularity for two vectors. Find the value of
‘x’ for which A and B are perpendicular to each other
A = i +xj + 2k
B = 2i + 3j – 4k
15 What do you mean by equlibriant .Write its significance.
16 Two vectors A and B in x-y plane are given by A = + and
̂
̂
B= + ̂ then find the vector representing the sum of the two
̂
vectors.
̂
17 The position of a particle is given by r =3.0 + 2.0 2 + 5.0 where t is in
̂
̂
seconds and the coefficients have the proper units for ‘r ‘to be in meters.
(a) Find
v (t) and a (t) of the particle.(b) Find the magnitude and direction of v(t) at
t=1.0s.
18 Derive the expression for finding the following in case of a projectile.
a. Time of maximum height
b. Maximum height of a Projectile
c. Horizontal Range of a Projectile.
19 What is meant by centripetal acceleration? Derive an expression for the
same.
20 Rain is falling vertically with a speed of 35ms-1. A woman rides a bicycle
with a speed of 12 m s-1in east to west direction. What is the direction in
which she should hold her umbrella?