CIRCULAR MOTION

Question 1

angular position?

Answer 1

change in theta or angle

Question 2

average angular velocity?

Answer 2

delta theta/delta time

Question 3

instantaneous angular velocity?

Answer 3

d(theta)/d(time)

Question 4

if rotation is anticlockwise then what is the direction of angular velocity?

Answer 4

outwards

Question 5

average angular acceleration?

Answer 5

delta(w)/delta(t)

Question 6

instantaneous angular acceleration

Answer 6

d(w)/dt

Question 7

if w is constant then find theta

Answer 7

delta theta=w*t

Question 8

if w is increasing what is the direction of angular acceleration? and what if w is decreasing?

Answer 8

parallel to angular velocity

antiparallel if w is decreasing

Question 9

if w is not constant then how. to find theta?

Answer 9

delta theta=integration(wdt) from t1 to t2

Question 10

relation between linear and angular speed?

Answer 10

v=rw

Question 11

if alpha(angular acceleration) is constant then find w

Answer 11

delta w=alpha*time

Question 12

if alpha is not constant, find w

Answer 12

alpha=integration(wdt) from t1 to t2

Question 13

under what conditions can u use equations of motion

Answer 13

alpha is constant

Question 14

what equations of motion can u use?

Answer 14

w2=w1+alphat
theta=wt+0.5alphat^2
w2^2-w1^2=2alpha*theta

Question 15

net acceleration?

Answer 15

a_net vector=a centripetal vector+a tangential vector

Question 16

a centripetal formula

Answer 16

a centripetal= v^2/r
=w^2r
=v*w

Question 17

a tangential formula

Answer 17

a tangential=r*alpha

=dv/dt

Question 18

when a_net is perpendicular to velocity then find components of acceleration

Answer 18

a_c=a_net

a_t=0

Question 19

when w is constant

Answer 19

at=0 and a_net=a_c

Question 20

when v is increasing or decreasing then what is the angle between v and a_net

Answer 20

ACUTE IF INCREASING

OBTUSE IF DECREASING

Question 21

what is the pseudo force experienced by a body in circular motion wrt to frame of circular frame

Answer 21

centrifugal force

Question 22

m*a_c=?

Answer 22

net force in the direction towards centre

Question 23

m*a_t=?

Answer 23

net force in the direction of tangent

Question 24

in a turntable if the object is stationary wrt turntable then find friction

Answer 24

friction=m*root(a_c^2+a_t^2)

Question 25

what is the orientation of the circle traversed in a banked road and which force causes this circular motion

Answer 25

the circle is horizontal and the normal force causes this circular motion

Question 26

what is the radius of curvature

Answer 26

it is the distance between the. centre of the CIRCLE traversed and the circumference
formula is v^2/a(centripetal)

Question 27

what are the usual silly mistakes made here..

Answer 27

we often do not take the centre of the circle correctly and usually assume some other random point to be the centre…
And we usually do not consider the full free body diagram(especially normal force)

Question 28

when does a particle deviate from circular motion

Answer 28

in a pendulum when tension becomes 0
OR
when normal force becomes 0 in a body undergoing circular motion

Question 29

what is the minimum speed of pendulum at highest point and lowest point in order to complete circular motion

Answer 29

v=root(gr)

v=root(5gr)

Question 30

what is the relative angular velocity of A with respect to B

Answer 30

v_A(perpendicular to AB)+v_B(perpendicular to A)/distance of AB

Question 31

what is the minimum speed of a rod at lowest point in order to complete circular motion

Answer 31

root(4gr)