Rotational Force Homework: Finding Angular Velocity

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The problem involves a 2kg triangular sheet rotating around the y-axis with a force of 1000 Newtons applied at the x=4 point. The goal is to determine the angular velocity in radians per second as the object crosses the y-z plane after rotating 270 degrees. Participants are encouraged to share their attempts and identify specific areas where they need assistance. The discussion emphasizes collaboration to solve the problem effectively. Understanding the principles of rotational dynamics is crucial for finding the solution.
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Homework Statement



A sheet of material, mass 2kg, uniform density, is in the shape of a right triangle bounded by the lines y=0, x=0, and y=4-x. Its attached to the origin, and free to rotate about the y axis. A force of 1000 Newtons is applied perpendicular to the plane, located at the x=4 point on the triangle as it starts to rotate. In a right-handed coordinate system, how fast will the object be spinning (in radians per second) as it crosses the y-z plane (that is, when it has rotated through 270 degrees)?

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The Attempt at a Solution

 
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hi engineertech0! :wink:

show us what you've tried, and where you're stuck, and then we'll know how to help! :smile:
 

Thread 'Errors and significant figures'

I multiplied the values first without the error limit. Got 19.38. rounded it off to 2 significant figures since the given data has 2 significant figures. So = 19. For error I used the above formula. It comes out about 1.48. Now my question is. Should I write the answer as 19±1.5 (rounding 1.48 to 2 significant figures) OR should I write it as 19±1. So in short, should the error have same number of significant figures as the mean value or should it have the same number of decimal places as...
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Thread 'A cylinder connected to a hanging mass'

Thread 'A cylinder connected to a hanging mass'

Let's declare that for the cylinder, mass = M = 10 kg Radius = R = 4 m For the wall and the floor, Friction coeff = ##\mu## = 0.5 For the hanging mass, mass = m = 11 kg First, we divide the force according to their respective plane (x and y thing, correct me if I'm wrong) and according to which, cylinder or the hanging mass, they're working on. Force on the hanging mass $$mg - T = ma$$ Force(Cylinder) on y $$N_f + f_w - Mg = 0$$ Force(Cylinder) on x $$T + f_f - N_w = Ma$$ There's also...
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