Physics, 29.01.2020 14:43 s1004019694

Awrench 30 cm long lies along the positive y-axis and grips bolt at the origin. a force is applied in the direction < 0,3,-4> at the end of the wrench. find the magnitude of the force needed to supply 100 n*m of torque to the bolt.

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Answers

= r x F
| τ | = | r x F | = | r | | F | sinΘ
100 = | (0.3)<0, 1, 0> x (F/5)<0, 3, -4> |
5000/3 = | F | | <0, 1, 0> x <0, 3, -4> |
5000/3 = | F | | <-4, 0, 0> |
5000/3 = | F | * 4
| F | = 1250/3
| F | = 417 N

Check:
τ = r x F
100<-1, 0, 0> = 0.3<0, 1, 0> x 250/3<0, 3, -4>
100<-1, 0, 0> = 25 ( <0, 1, 0> x <0, 3, -4> )
100<-1, 0, 0> = 25 ( <-4, 0, 0> )
100<-1, 0, 0> = 100<-1, 0, 0>

What the other people forgot was that you need the angle from the y-axis, which would be Θ = arctan(O/A) = arctan(z/y) = arctan(-4/3) = -53.1°. Then you take the sine of that to get 0.8. There is more work being done on the z-vector than there is on the y-vector, so the force is distributed (0.6) in the y-direction, and (0.8) in the z-direction (0.6² + 0.8² = 1).

Answer from: bridgetosanders

To answer the question, you need to have the force dispersed at (0.6) in the y-direction, and (0.8) in the z-direction (0.6² + 0.8² = 1) to supply 100 N*m of torque to the bolt. I am hoping that this answer has satisfied your query and it will be able to help you in your endeavor, and if you would like, feel free to ask another question.

Answer from: Quest

are their multiple choices ?

explanation:

Answer from: Quest

Is a vector quantity that refers to "the rate at which an object changes its position." imagine a person moving rapidly - one step forward and one step back - always returning to the original starting position. while this might result in a frenzy of activity, it would result in a zero velocity. because the person always returns to the original position, the motion would never result in a change in position. since velocity is defined as the rate at which the position changes, this motion results in zero velocity. if a person in motion wishes to maximize their velocity, then that person must make every effort to maximize the amount that they are displaced from their original position. every step must go into moving that person further from where he or she started. for certain, the person should never change directions and begin to return to the starting position.

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