An equilateral triangle 
formed from a uniform wire has two small identical beads initially located at 
. The triangle is set rotating about the vertical axis 
. Then the beads are released from rest simultaneously and allowed to slide down, one along 
and the other along 
as shown. Neglecting frictional effects, the quantities that are conserved as the beads slide down are
.png)
a)
Angular velocity and total energy (kinetic and potential)
b)
Total angular momentum and total energy
c)
Angular velocity and moment of inertia about the axis of rotation
d)
Total angular momentum and moment of inertia about the axis of rotation
formed from a uniform wire has two small identical beads initially located at . The triangle is set rotating about the vertical axis . Then the beads are released from rest simultaneously and allowed to slide down, one along and the other along as shown. Neglecting frictional effects, the quantities that are conserved as the beads slide down area)
Angular velocity and total energy (kinetic and potential)
b)
Total angular momentum and total energy
c)
Angular velocity and moment of inertia about the axis of rotation
d)
Total angular momentum and moment of inertia about the axis of rotation
Question ID - 100749 | SaraNextGen Top Answer An equilateral triangle formed from a uniform wire has two small identical beads initially located at . The triangle is set rotating about the vertical axis . Then the beads are released from rest simultaneously and allowed to slide down, one along and the other along as shown. Neglecting frictional effects, the quantities that are conserved as the beads slide down are
a)
Angular velocity and total energy (kinetic and potential)
b)
Total angular momentum and total energy
c)
Angular velocity and moment of inertia about the axis of rotation
d)
Total angular momentum and moment of inertia about the axis of rotation
An equilateral triangle formed from a uniform wire has two small identical beads initially located at . The triangle is set rotating about the vertical axis . Then the beads are released from rest simultaneously and allowed to slide down, one along and the other along as shown. Neglecting frictional effects, the quantities that are conserved as the beads slide down are
|
a) |
Angular velocity and total energy (kinetic and potential) |
|
b) |
Total angular momentum and total energy |
|
c) |
Angular velocity and moment of inertia about the axis of rotation |
|
d) |
Total angular momentum and moment of inertia about the axis of rotation |
|
(b) The MI about the axis of rotation is not constant as the perpendicular distance of the bead with the axis of rotation increases Also since no external torque is acting, therefore
Since |
constt
comstt
increases, 