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March 4th, 2017, 02:30 PM   #1
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work, energy and power

A 50 g pendulum bob hanging at rest on a 2 m long string is hit by a horizontal projectile of
mass 80 mg moving at 200 km/h. Use the concept of energy conservation to estimate the
angular displacement of the bob
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March 4th, 2017, 02:54 PM   #2
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What kind of collision? Elastic, totally inelastic, ... ?
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March 5th, 2017, 03:00 PM   #3
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The type of collision hasn't been specified, but I assume it's elastic.

Last edited by skipjack; March 5th, 2017 at 03:28 PM.
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March 5th, 2017, 03:07 PM   #4
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Quote:
Originally Posted by jeho View Post
The type of collision hasn't been specified, but I assume it's elastic.
So, describe the physics properties of an elastic collision ...

Last edited by skipjack; March 5th, 2017 at 03:29 PM.
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March 5th, 2017, 03:16 PM   #5
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The kinetic energy in an elastic collision is conserved.

Last edited by skipjack; March 5th, 2017 at 03:29 PM.
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March 5th, 2017, 03:30 PM   #6
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Quote:
Originally Posted by jeho View Post
. . . the angular displacement of the bob
When?
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March 5th, 2017, 03:57 PM   #7
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Quote:
Originally Posted by jeho View Post
The kinetic energy in an elastic collision is conserved.
... and momentum is conserved.

$mv_{1_0}+ Mv_{2_0} = mv_{1_f}+ Mv_{2_f}$

since $M$ is initially at rest ...

$mv_{1_0} = mv_{1_f}+ Mv_{2_f}$


a shortcut for conservation of kinetic energy ...

closing speed of the masses prior to the collision = opening speed of the masses after the collision $\implies v_{1_0} - v_{2_0} = v_{2_f} - v_{1_f}$. Of course, $v_{2_0} = 0$.
Using this equation, solve for $v_{1_f}$ in terms of $v_{2_f}$ and $v_{1_0}$. Substitute the result into the momentum equation and solve for $v_{2_f}$.

Once you have $v_{2_f}$, you can use energy conservation to determine how high the pendulum bob, $M$, swings ... some trig will get you the max angular displacement from equilibrium.
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A 50 g pendulum bob hanging at rest on a 2 m long string is hit by a horizontal projectile of mass 80 mg moving at 200 km/h. Use the concept of energy conservation to estimate the angular displacement of the bob.
,

a 50g pendulum bob hanging a rest on a 2m long string is a hit by a horizontal projectile of mass 80mg moving at 200km/h. use the concept of energy conservation to estimate the angular displcement of the bob

,

A 50 g pendulum bob hanging at rest on a 2 m long string is hit by a horizontal projectile of mass 80 mg moving at 200 km/h. Use the concept of energy conservation to estimate the angular displacement of the bob

,

A 50g pendulum hanging at rest on a 2m long string is hit by a horizontal projectile of mass 80mg moving at 200km/h. use the concept of energy conservation to estimate the angular displacement of the bob.

,

A 50 g pendulum bob hanging at rest on a 2 m long string is hit by a horizontal projectile of mass 80 mg moving at 200 km/h. Use the concept of energy conservation to estimate the angular displacement of the bob.

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a 50g pendulum bob hanging at rest on a 2m long string is hit by a horizontal projectile of mass 80mg moving at 200km/ h. use the concept of

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A 50g pendulum bob hanging at rest on a 2m long string is hit by a horizontal projectile of mass 80mg moving at 200km/h.Use the concept of energy conservation to estimate the angular displacement of the bob. Pdf

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Angular displacement of a hangeing bob hit by projectile

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A Bob of 50g hanging at rest on a 2m string is hit by a horizontal projectile of 80mg moving at 200km/h. Use concept of energy conservation to find the angular displacement of the bob

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a 50g pendulum hanging at rest on a 2m long string is hit by a horizontal projectile of mass 80mg moving at 200kn/h.use the concept of energy conservation to estimate the angular displacement of the bob

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