A cubical block of side a is moving with velocity V on a horizontal smooth plane as shown in Figure. It hits a ridge at point O. The angular speed fo the block after it hits O is
A
`3V/(4a)`
B
`3V/(2a)`
C
`sqrt(3V) / (sqrt(2a))`
D
zero
Text Solution
Verified by Experts
The correct Answer is:
A
`r = sqrt2(a)/(2)` or `r^2 = (a^2)/(2)` Net torque about O is zero. Therefore, angular momentum (L) about O will be conserved, or `L_i = L_f` `omega = {(Ma^2)/(6) +M((a^2)/(2))}omega = (2)/(3)Ma^2omega = (3v)/(4a)`
Topper's Solved these Questions
ROTATIONAL MOTION
SUNIL BATRA (41 YEARS IITJEE PHYSICS)|Exercise MCQs with one correct answer|1 Videos
MOTION
SUNIL BATRA (41 YEARS IITJEE PHYSICS)|Exercise JEE Main And Advanced|63 Videos
SIMPLE HARMONIC MOTION
SUNIL BATRA (41 YEARS IITJEE PHYSICS)|Exercise JEE Main And Advanced|69 Videos
Similar Questions
Explore conceptually related problems
A cubical block of side a is moving with velocity v on a horizontal smooth plane as shown. It hits a ridge at point O. The angular speed of the block after it hits O is:
A cubical block of side a is moving with velocity v on a horizontal smooth palne as shown . It hits a ridge at point O. The angular sped of the block after it hits O is
A particle is moving with constant speed v in xy plane as shown in figure. The magnitude of its angular velocity about point O is
A block of mass m is placed on an inclined plane which is moving with constant velocity v in horizontal direction as shown in figure. Then find out work done by the friction in time t if the block is at rest with respect to the incline plane.
A block of mass m is moving in a circle of radius R with speed v inside a smooth cone as shown in figure. Choose the wrong options
A ball of mass moving with constant velocity u collides with a smooth horizontal surface at O as shown in Fig. Neglect gravity and friction. The y -axis is drawn normal to the horizontal surface at the point of impact O and x -axis is horizontal as shown. About which point will the angular momentum of ball be conserved?
A block of mass m moving with velocity v_(0) on a smooth horizontal surface hits the spring of constant k as shown. Two maximum compression in spring is
SUNIL BATRA (41 YEARS IITJEE PHYSICS)-ROTATIONAL MOTION-MCQs with one correct answer
