CIRCULAR MOTION Flashcards
angular position?
change in theta or angle
average angular velocity?
delta theta/delta time
instantaneous angular velocity?
d(theta)/d(time)
if rotation is anticlockwise then what is the direction of angular velocity?
outwards
average angular acceleration?
delta(w)/delta(t)
instantaneous angular acceleration
d(w)/dt
if w is constant then find theta
delta theta=w*t
if w is increasing what is the direction of angular acceleration? and what if w is decreasing?
parallel to angular velocity
antiparallel if w is decreasing
if w is not constant then how. to find theta?
delta theta=integration(wdt) from t1 to t2
relation between linear and angular speed?
v=rw
if alpha(angular acceleration) is constant then find w
delta w=alpha*time
if alpha is not constant, find w
alpha=integration(wdt) from t1 to t2
under what conditions can u use equations of motion
alpha is constant
what equations of motion can u use?
w2=w1+alphat
theta=wt+0.5alphat^2
w2^2-w1^2=2alpha*theta
net acceleration?
a_net vector=a centripetal vector+a tangential vector
a centripetal formula
a centripetal= v^2/r
=w^2r
=v*w
a tangential formula
a tangential=r*alpha
=dv/dt
when a_net is perpendicular to velocity then find components of acceleration
a_c=a_net
a_t=0
when w is constant
at=0 and a_net=a_c
when v is increasing or decreasing then what is the angle between v and a_net
ACUTE IF INCREASING
OBTUSE IF DECREASING
what is the pseudo force experienced by a body in circular motion wrt to frame of circular frame
centrifugal force
m*a_c=?
net force in the direction towards centre
m*a_t=?
net force in the direction of tangent
in a turntable if the object is stationary wrt turntable then find friction
friction=m*root(a_c^2+a_t^2)
what is the orientation of the circle traversed in a banked road and which force causes this circular motion
the circle is horizontal and the normal force causes this circular motion
what is the radius of curvature
it is the distance between the. centre of the CIRCLE traversed and the circumference
formula is v^2/a(centripetal)
what are the usual silly mistakes made here..
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)
when does a particle deviate from circular motion
in a pendulum when tension becomes 0
OR
when normal force becomes 0 in a body undergoing circular motion
what is the minimum speed of pendulum at highest point and lowest point in order to complete circular motion
v=root(gr)
v=root(5gr)
what is the relative angular velocity of A with respect to B
v_A(perpendicular to AB)+v_B(perpendicular to A)/distance of AB
what is the minimum speed of a rod at lowest point in order to complete circular motion
root(4gr)
