help@askiitians.com

+91-87964 74404

Grade 11Mechanics

a particle of mass m is projected from originat an angle theta with positive x axis find angular momentum of particle at any time t about o

Abhi

9 Years agoGrade 11

1 Answer

Vikas TU

9 Years ago

I have already answered this qstn.

Since U have asked this twice,

Angular momentum is mvr where r is the perpendicular distance to momenta.
In x – direcn. at any time t,
Vx = ucos(thetha).....................................(1)
x = ucos(thetha)*t.............................(2)
In y – direc. at any time t,
Vy = usin(thetha) – gt...............................(3)
y = usin(thetha) – 0.5gt^2......................(4)
from eqn. (2) and (4) we have got the coordinates.
Now distance b/w origin to the those coordinates =>
that is r = > root( (usin(thetha) – 0.5gt^2)^2 + (ucos(thetha)*t)^2)
and v = root(Vx^2 + Vy^2)

Hence the final angular momentum at time t => mvr
that is=> m * root(Vx^2 + Vy^2) * root( (usin(thetha) – 0.5gt^2)^2 + (ucos(thetha)*t)^2)
or
=> m * root((ucos(thetha))^2 + (usin(thetha) – gt)^2) * root( (usin(thetha) – 0.5gt^2)^2 + (ucos(thetha)*t)^2)

Three identical balls are placed on a frictionless horizontal surface touching each other. They stick to each other because of adhesive. Another ball of same radius and mass m is placed over the void created by the three balls. Find the forces applied by the balls kept on the floor to each other if the system remains in equilibrium.

mechanics

1 Answer Available

Last Activity: 9 Months ago

A car loaded with water having total mass 1000 kg moves on a straight horizontal Road starting from rest under the action of a force of 100 Newton. The water spills throw a small hole in the bottom at a rate of 0.1 KG per second the velocity of cart after 300 seconds is nearly.

11
21
31
41

mechanics

1 Answer Available

Last Activity: 10 Months ago

A metal strip clamped at one end vibrates with a frequency of 20 Hz and amplitude of 5 mm
at the free end, where a small mass of 2 g is positioned. determine
(i) The velocity of the end when passing through the zero position
(ii) The acceleration at maximum displacement
(iii) The maximum kinetic energy of the mass

mechanics

2 Answers Available

Last Activity: 3 Years ago

An object of mass m = 0.25 kg oscillates in a fluid at the end of a vertical spring of spring
constant kH = 85 N/m, see Fig.1. The effect of the fluid resistance is governed by the
damping constant b = 0.07kg/s.
(i) Find the period of the damped oscillation.
(ii) By what percentage does the amplitude of the oscillation decrease in each cycle?

mechanics

1 Answer Available

Last Activity: 3 Years ago

If a=x² find the displacement at t =3sec if body velocity at t= 0 sec is 0

mechanics

1 Answer Available

Last Activity: 3 Years ago

View all Questions