Mixing
Horizontal angular rotation speed
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Below is the question I'm not sure I've properly solved.
A smooth bead of mass 100g is threaded on a light inextensible string of length 70 cm. The string has one end attached to a fixed point A and the other to a fixed point B 50 cm vertically below A. The bead moves in a horizontal circle about the line AB with a constant angular speed of $omega$ rad/s, and the string taut. If the bead is at a point C on the string with AC = 40 cm, find the value of $omega$ and the tension in the string.
Because its a 3-4-5 triangle, I found the horizontal rotation plane to be 0.18m above B, and therefore 0.32m below A. The radius is then 0.24m. I found this by extending AC to 6.25m. I then resolve the vertical and horizontal forces and found $omega$ to be 4.88 rad/s. I`m however not sure about this answer as books says 16.9, 4.9N.
Any help would be appreciated.
Here is an image to help.
geometry trigonometry physics
edited 18 hours ago
bob.sacamento
2,3821819
asked 22 hours ago
tas75
83
add a comment |
up vote
0
down vote
favorite
Below is the question I'm not sure I've properly solved.
A smooth bead of mass 100g is threaded on a light inextensible string of length 70 cm. The string has one end attached to a fixed point A and the other to a fixed point B 50 cm vertically below A. The bead moves in a horizontal circle about the line AB with a constant angular speed of $omega$ rad/s, and the string taut. If the bead is at a point C on the string with AC = 40 cm, find the value of $omega$ and the tension in the string.
Because its a 3-4-5 triangle, I found the horizontal rotation plane to be 0.18m above B, and therefore 0.32m below A. The radius is then 0.24m. I found this by extending AC to 6.25m. I then resolve the vertical and horizontal forces and found $omega$ to be 4.88 rad/s. I`m however not sure about this answer as books says 16.9, 4.9N.
Any help would be appreciated.
Here is an image to help.
geometry trigonometry physics
edited 18 hours ago
bob.sacamento
2,3821819
asked 22 hours ago
tas75
83
Could you add a picture or a more detailed description. I am especially stuck on this sentence "The bead moves in a horizontal circle about the line AB".
– maxmilgram
22 hours ago
@maxmilgram, I hope that helps
– tas75
22 hours ago
I don't get your answer or the answer in the book. I'll post my free body diagram in the answer because it won't post in the comments.
– Phil H
18 hours ago
See revised answer, same as the book.
– Phil H
14 hours ago
@Phil H, thanks for confirming the books answer
– tas75
13 hours ago
add a comment |
up vote
0
down vote
favorite
up vote
0
down vote
favorite
Below is the question I'm not sure I've properly solved.
A smooth bead of mass 100g is threaded on a light inextensible string of length 70 cm. The string has one end attached to a fixed point A and the other to a fixed point B 50 cm vertically below A. The bead moves in a horizontal circle about the line AB with a constant angular speed of $omega$ rad/s, and the string taut. If the bead is at a point C on the string with AC = 40 cm, find the value of $omega$ and the tension in the string.
Because its a 3-4-5 triangle, I found the horizontal rotation plane to be 0.18m above B, and therefore 0.32m below A. The radius is then 0.24m. I found this by extending AC to 6.25m. I then resolve the vertical and horizontal forces and found $omega$ to be 4.88 rad/s. I`m however not sure about this answer as books says 16.9, 4.9N.
Any help would be appreciated.
Here is an image to help.
geometry trigonometry physics
edited 18 hours ago
bob.sacamento
2,3821819
asked 22 hours ago
tas75
83
Below is the question I'm not sure I've properly solved.
A smooth bead of mass 100g is threaded on a light inextensible string of length 70 cm. The string has one end attached to a fixed point A and the other to a fixed point B 50 cm vertically below A. The bead moves in a horizontal circle about the line AB with a constant angular speed of $omega$ rad/s, and the string taut. If the bead is at a point C on the string with AC = 40 cm, find the value of $omega$ and the tension in the string.
Because its a 3-4-5 triangle, I found the horizontal rotation plane to be 0.18m above B, and therefore 0.32m below A. The radius is then 0.24m. I found this by extending AC to 6.25m. I then resolve the vertical and horizontal forces and found $omega$ to be 4.88 rad/s. I`m however not sure about this answer as books says 16.9, 4.9N.
Any help would be appreciated.
Here is an image to help.
geometry trigonometry physics
geometry trigonometry physics
edited 18 hours ago
bob.sacamento
2,3821819
asked 22 hours ago
tas75
83
edited 18 hours ago
bob.sacamento
2,3821819
asked 22 hours ago
tas75
83
edited 18 hours ago
bob.sacamento
2,3821819
edited 18 hours ago
bob.sacamento
2,3821819
edited 18 hours ago
bob.sacamento
2,3821819
2,3821819
asked 22 hours ago
tas75
83
asked 22 hours ago
tas75
83
asked 22 hours ago
tas75
83
83
Could you add a picture or a more detailed description. I am especially stuck on this sentence "The bead moves in a horizontal circle about the line AB".
– maxmilgram
22 hours ago
@maxmilgram, I hope that helps
– tas75
22 hours ago
I don't get your answer or the answer in the book. I'll post my free body diagram in the answer because it won't post in the comments.
– Phil H
18 hours ago
See revised answer, same as the book.
– Phil H
14 hours ago
@Phil H, thanks for confirming the books answer
– tas75
13 hours ago
add a comment |
Could you add a picture or a more detailed description. I am especially stuck on this sentence "The bead moves in a horizontal circle about the line AB".
– maxmilgram
22 hours ago
@maxmilgram, I hope that helps
– tas75
22 hours ago
I don't get your answer or the answer in the book. I'll post my free body diagram in the answer because it won't post in the comments.
– Phil H
18 hours ago
See revised answer, same as the book.
– Phil H
14 hours ago
@Phil H, thanks for confirming the books answer
– tas75
13 hours ago
Could you add a picture or a more detailed description. I am especially stuck on this sentence "The bead moves in a horizontal circle about the line AB".
– maxmilgram
22 hours ago
Could you add a picture or a more detailed description. I am especially stuck on this sentence "The bead moves in a horizontal circle about the line AB".
– maxmilgram
22 hours ago
@maxmilgram, I hope that helps
– tas75
22 hours ago
@maxmilgram, I hope that helps
– tas75
22 hours ago
I don't get your answer or the answer in the book. I'll post my free body diagram in the answer because it won't post in the comments.
– Phil H
18 hours ago
I don't get your answer or the answer in the book. I'll post my free body diagram in the answer because it won't post in the comments.
– Phil H
18 hours ago
See revised answer, same as the book.
– Phil H
14 hours ago
See revised answer, same as the book.
– Phil H
14 hours ago
@Phil H, thanks for confirming the books answer
– tas75
13 hours ago
@Phil H, thanks for confirming the books answer
– tas75
13 hours ago
add a comment |
1 Answer
1
active
oldest
votes
up vote
0
down vote
accepted
Edit: I had the resultant of the strings at the wrong angle. Now corrected I get the same result as the book.
This should be a comment but a diagram won't post to the comments. Take a look and see if you agree.
answered 18 hours ago
Phil H
3,8532312
add a comment |
1 Answer
1
active
oldest
votes
1 Answer
1
active
oldest
votes
active
oldest
votes
active
oldest
votes
up vote
0
down vote
accepted
Edit: I had the resultant of the strings at the wrong angle. Now corrected I get the same result as the book.
This should be a comment but a diagram won't post to the comments. Take a look and see if you agree.
answered 18 hours ago
Phil H
3,8532312
add a comment |
up vote
0
down vote
accepted
Edit: I had the resultant of the strings at the wrong angle. Now corrected I get the same result as the book.
This should be a comment but a diagram won't post to the comments. Take a look and see if you agree.
answered 18 hours ago
Phil H
3,8532312
add a comment |
up vote
0
down vote
accepted
up vote
0
down vote
accepted
Edit: I had the resultant of the strings at the wrong angle. Now corrected I get the same result as the book.
This should be a comment but a diagram won't post to the comments. Take a look and see if you agree.
answered 18 hours ago
Phil H
3,8532312
Edit: I had the resultant of the strings at the wrong angle. Now corrected I get the same result as the book.
This should be a comment but a diagram won't post to the comments. Take a look and see if you agree.
answered 18 hours ago
Phil H
3,8532312
edited 14 hours ago
answered 18 hours ago
Phil H
3,8532312
answered 18 hours ago
Phil H
3,8532312
answered 18 hours ago
Phil H
3,8532312
3,8532312
add a comment |
add a comment |
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Could you add a picture or a more detailed description. I am especially stuck on this sentence "The bead moves in a horizontal circle about the line AB".
– maxmilgram
22 hours ago
@maxmilgram, I hope that helps
– tas75
22 hours ago
I don't get your answer or the answer in the book. I'll post my free body diagram in the answer because it won't post in the comments.
– Phil H
18 hours ago
See revised answer, same as the book.
– Phil H
14 hours ago
@Phil H, thanks for confirming the books answer
– tas75
13 hours ago