Angular momentum of a falling ball

AI Thread Summary
The discussion focuses on the calculation of angular momentum for a falling ball, using the formula (L) = (radius) * (mass * velocity). The calculated velocity of the ball is 6.86 m/s, leading to an angular momentum of 1.05 kg*m^2/s. The direction of angular momentum is determined using the vector cross product and the right-hand rule, indicating it is perpendicular to the velocity of the body. The participants clarify that the direction is horizontal and ultimately conclude it is to the left from Polly's perspective, which is interpreted as north. The conversation emphasizes the importance of understanding direction in angular momentum calculations.
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Homework Statement
Polly climbs to the top floor of her dorm, a height H=90 meters above the ground. She holds a ball of mass m=2 kg in her hand. She sticks her arm out a window facing East, so that the ball is d=0.77 meters away from the window. Polly then drops the ball.

Ignore air resistance

What is the angular momentum of the ball measured from the window at a time t1=0.7 seconds after Polly drops the ball? Provide both a magnitude and direction.

What is the angular momentum of the ball measured from the window at a time t2=1.8 seconds after Polly drops the ball? Provide both a magnitude and direction.

What is the angular momentum of the ball measured from the window at a time t3=2.4 seconds after Polly drops the ball? Provide both a magnitude and direction.
Relevant Equations
angular momentum(L) = (radius) * (mass*velocity)
(L) = (radius) * (mass*velocity)
velocity= 0+ (9.8m/s^2) (0.7s) = 6.86m/s
(L) = (0.77m) * (2kg*6.86m/s)= 1.05 kg*m^2/s
angular momentum points towards Polly
 
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is the calculation correct?
 
ac7597 said:
is the calculation correct?
Looks right. What do you get for direction now?
 
direction is perpendicular to the velocity of the body. Thus it is a horizontal direction: left
 
ac7597 said:
direction is perpendicular to the velocity of the body. Thus it is a horizontal direction: left
From Polly's view, yes.
 
Does it mean the direction is clockwise?
Apparently left, right, west, east is not correct.
 
ac7597 said:
Does it mean the direction is clockwise?
Apparently left, right, west, east is not correct.
She is facing East, so which direction is left?
 
North
 
  • #10
ac7597 said:
North
Right
 
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