A small particle of mass m is projected at an angle - with the X - caxis with an initial velocity v0 in the X - Y plane as shown in the figure- At a time t - v 0sin- g the angular momentum of the particle isWhere- - and k- are unit vectors along X- Y and Z-axis respectively- A- 1-2 m g v0 t2cos-B- -m g v0 t2cos-k-mg1 v0 t cos-k- -1-2 m g v0 t2cos-

The correct option is D ∵ Angular momentum L = rp Where, r = v_0 cos θ t î + ( v_0 sin θ t 1/2gt^2 )ĵ p= v_0 [ cos θî + ( v_0 sin θ gt ) ] L= rp ...

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Byju's Answer

Standard XII

Physics

Definition of a Projectile

A small parti...

Question

A small particle of mass m is projected at an angle θ with the X – caxis with an initial velocity v0 in the X – Y plane as shown in the figure. At a time $t = \frac{v_{0} s i n θ}{g}$ the angular momentum of the particle is

Where, $^i$ $^j$ and $^k$ are unit vectors along X, Y and Z-axis respectively.

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

Open in App

Solution

The correct option is D
$∵ A n g u l a r m o m e n t u m L = r p W h e r e, r = v_{0} c o s θ t^i + (v_{0} s i n θ t - \frac{1}{2} g t^{2})^j p = v_{0} [c o s θ^i + (v_{0} s i n θ - g t)] L = r p = - \frac{1}{2} m g v_{0} t^{2} c o s θ^k$

Suggest Corrections

Similar questions

Q. A small particle of mass

m

is projected at an angle

θ

with the

x

axis with an initial velocity

v_{0}

in the

x y

plane as shown in the figure. At a time

t < \frac{v_{0} sin θ}{g}

, the angular momentum of the particle is:
(here

^i,^j

and

^k

are unit vectors along

x, y

and

z

-axis respectively)

Q. A small particle of mass

m

is projected at an angle

θ

with the

x - a x i s

with an initial velocity

v_{0}

in the

x - y

plane shown in the figure . At a time

t < \frac{v_{0} sin θ}{g},

the angular momentum of the particle is

Q. A small particle of mass m is projected at an angle

θ

with the x-axis with an initial velocity

v_{0}

in the x-y plane as shown in the figure. At a time

t < (v_{0} s i n θ / g),

the angular momentum of the particle is

Q. A particle of mass

m

is projected at an angle

θ

with the

X -

axis with an initial velocity

v_{0}

in the

X - Y

plane as shown in the figure. At a time

t < \frac{v_{0} sin θ}{g}

, the angular momentum of the particle about origin is

Q. A particle of mass

m

is projected at an angle

θ

with the

X -

axis with an initial velocity

v_{0}

in the

X - Y

plane as shown in the figure. At a time

t < \frac{v_{0} sin θ}{g}

, the angular momentum of the particle about origin is

Join BYJU'S Learning Program

A small particle of mass m is projected at an angle θ with the X – caxis with an initial velocity v0 in the X – Y plane as shown in the figure. At a time t=v0sinθg the angular momentum of the particle is Where, ^i ^j and ^k are unit vectors along X, Y and Z-axis respectively.

The correct option is D ∵Angular momentum L=rpWhere,r=v0 cos θt ^i+(v0 sin θt−12gt2)^jp=v0[cos θ^i+(v0 sin θ−gt)]L=rp=−12 mg v0t2cos θ^k

The correct option is D
$∵ A n g u l a r m o m e n t u m L = r p W h e r e, r = v_{0} c o s θ t^i + (v_{0} s i n θ t - \frac{1}{2} g t^{2})^j p = v_{0} [c o s θ^i + (v_{0} s i n θ - g t)] L = r p = - \frac{1}{2} m g v_{0} t^{2} c o s θ^k$