The ball launcher A large ball with mass mA =5kg falls from a height ℎ=2m into the scoop of a straight balance beam with a length of L=4.5m and mass mB=10kg (see diagram). A small ball with mass mC=1.4kg is located in a second scoop at the other end of the balance beam. The balance beam, at rest, makes an angle α=45∘ relative to the horizontal. After the impact of the large ball on the scoop, it remains there, and the balance beam starts to rotate. When the balance beam is horizontally aligned, a rod momentarily blocks the balance beam, and the small ball is expelled from its scoop. What will be the maximum height reached by the small ball after being expelled from its scoop relative to the horizontal position of the balance beam? (Consider the balls as point masses.)
The ball launcher A large ball with mass mA =5kg falls from a height ℎ=2m into the scoop of a straight balance beam with a length of L=4.5m and mass mB=10kg (see diagram). A small ball with mass mC=1.4kg is located in a second scoop at the other end of the balance beam. The balance beam, at rest, makes an angle α=45∘ relative to the horizontal. After the impact of the large ball on the scoop, it remains there, and the balance beam starts to rotate. When the balance beam is horizontally aligned, a rod momentarily blocks the balance beam, and the small ball is expelled from its scoop. What will be the maximum height reached by the small ball after being expelled from its scoop relative to the horizontal position of the balance beam? (Consider the balls as point masses.)
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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The ball launcher
A large ball with mass mA =5kg falls from a height ℎ=2m into the scoop of a straight balance beam with a length of L=4.5m and mass mB=10kg (see diagram). A small ball with mass mC=1.4kg is located in a second scoop at the other end of the balance beam. The balance beam, at rest, makes an angle α=45∘ relative to the horizontal.
After the impact of the large ball on the scoop, it remains there, and the balance beam starts to rotate. When the balance beam is horizontally aligned, a rod momentarily blocks the balance beam, and the small ball is expelled from its scoop. What will be the maximum height reached by the small ball after being expelled from its scoop relative to the horizontal position of the balance beam? (Consider the balls as point masses.)
Transcribed Image Text:pe:
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Step 1: Determine the given data:
VIEWStep 2: Calculate the speed of ball A while heating the scoop:
VIEWStep 3: Fine the rotational speed of the system after the ball A collides with the scoop:
VIEWStep 4: Calculate the final angular speed of the system when the block is horizontal:
VIEWStep 5: Now find out the final velocity of smaller ball (C) when the rod impacts:
VIEWStep 6: Calculate the maximum height raised by C:
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