A question answer community on a mission

to share Solutions for all STEM major Problems.

to share Solutions for all STEM major Problems.

Cant find a problem on ToughSTEM?

0

A 12.0g bullet is fired at 570.1m/s into a solid cylinder of mass 16.1kg and a radius 0.470m. The cylinder is initially at rest and is mounted on fixed vertical axis that runs through it's center of mass. The line of motion of the bullet is perpendicular to the axle and at a distance 9.40 cm from the center. Find the angular velocity of the system after the bullet strikes and adheres to the surface of the cylinder.

Added Sun, 21 Jun '15

Community

1

Add a Comment

Solutions

0

this is a problem of conservation of angular momentum

the bullet has angular momentum with respect to the cylinder; the amount of this angular momentum is m v d where m is the bullet mass, v is its velocity and d is its perpendicular distance from the cylinder's rotation axis

the angular momentum of the cylinder after impact will be I*w

where I is the moment of inertia of the cylinder/bullet system and w the angular velocity

the moment of inertia of the system will be I(cylinder)+I(due to bullet)

I(cylinder)=1/2MR^2 where M, R are the mass and radius of the cylinder,

and the contribution to the system's I from the bullet is mR^2 where m is the mass of the bullet

since angular momentum is conserved, we have

angular momentum before impact = angular momentum after impact

m v d = (1/2MR^2+mR^2) w

w= m v d/R^2(1/2M+m)

using values given:

w=(0.012*570.1*0.094)/(0.47^2*(16.1/2+0.012)

w=0.361rad/s

Added Sun, 21 Jun '15

Community

1

Add a Comment

Add Your Solution!

Close

Click here to

Choose An Image

or

Get image from URL

GO

Close

Back

Add Image

Close

What URL would you like to link?

GO

α

β

γ

δ

ϵ

ε

η

ϑ

λ

μ

π

ρ

σ

τ

φ

ψ

ω

Γ

Δ

Θ

Λ

Π

Σ

Φ

Ω

∫

∮

∞

∝

∇

∴

→

↔

⊆

⊂

∀

∃

∈

∉

∪

∩

∅

Copied to Clipboard

Sign Up

to interact with the community. (That's part of how we ensure only good content gets on ToughSTEM)

OR

OR

ToughSTEM is completely free, and its staying that way. Students pay way too much already.

Almost done!

Please **check your email** to finish creating your account!

Welcome to the Club!

Choose a new Display Name

Only letters, numbers, spaces, dashes, and underscores, are allowed. Can not be blank.

Great! You're all set, .

A question answer community on a mission

to share Solutions for all STEM major Problems.

to share Solutions for all STEM major Problems.

Why

The Purpose

The Purpose

How

The Community

The Community

Give Feedback

Tell us suggestions, ideas, and any bugs you find. Help make ToughSTEM even better.