In physics and mechanics, torque is the rotational equivalent of linear force. It is also referred to as the moment, moment of force, rotational force or turning effect, depending on the field of study. The concept originated with the studies by Archimedes of the usage of levers. Just as a linear force is a push or a pull, a torque can be thought of as a twist to an object around a specific axis. Another definition of torque is the product of the magnitude of the force and the perpendicular distance of the line of action of a force from the axis of rotation. The symbol for torque is typically
τ
{\displaystyle {\boldsymbol {\tau }}}
or τ, the lowercase Greek letter tau. When being referred to as moment of force, it is commonly denoted by M.
In three dimensions, the torque is a pseudovector; for point particles, it is given by the cross product of the position vector (distance vector) and the force vector. The magnitude of torque of a rigid body depends on three quantities: the force applied, the lever arm vector connecting the point about which the torque is being measured to the point of force application, and the angle between the force and lever arm vectors. In symbols:
{\displaystyle \tau =\|\mathbf {r} \|\,\|\mathbf {F} \|\sin \theta \,\!}
where
τ
{\displaystyle {\boldsymbol {\tau }}}
is the torque vector and
τ
{\displaystyle \tau }
is the magnitude of the torque,
r
{\displaystyle \mathbf {r} }
is the position vector (a vector from the point about which the torque is being measured to the point where the force is applied),
F
{\displaystyle \mathbf {F} }
is the force vector,
×
{\displaystyle \times }
denotes the cross product, which produces a vector that is perpendicular to both r and F following the right-hand rule,
θ
{\displaystyle \theta }
is the angle between the force vector and the lever arm vector.The SI unit for torque is the newton-metre (N⋅m). For more on the units of torque, see § Units.
I am conducting some research into finding the force which a rotating link will exert.
The link is actuated by a motor which provides 30Nm of torque. I need to find force in x,y,z directions
F=[Fx,Fy,Fz];
Is the answer [Fx,Fy,Fz]=[tau/Px,tau/Py,tau/Pz]
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Homework Statement
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Homework Statement
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Homework Statement
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Homework Statement
Homework Equations
ok, I thought that the torque from the mass 'm' would be equal to torque from mass 'M'
The Attempt at a Solution
I wrote down:
m * g * (d/4) = M * g * d
(m/4) = M
m = 4M
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However, the solutions say...
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Homework Statement
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Homework Statement
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Homework Statement
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Hello All,
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Homework Statement
https://drive.google.com/file/d/0BxPEJS0qVOpeWENSREI1RlNsNDQ/view?usp=sharing
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Homework Statement
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Homework Equations...
Hi,
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Homework Statement
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Homework Statement
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Homework Statement
What is the angle of twist at gear A relative to the motor? (Round to the closest 6th decimal)
Homework Equations
I know to find the angle its θ = ∑ (TL/JG)
but it can also be θ = Lτ/Gr
The Attempt at a Solution
So i used both these equations, and I got...
Homework Statement
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$$\vec{\tau_z}=\frac{d\vec{L_z}}{dt}= I_z \vec{\alpha} \tag{1}$$
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Before I start I want to apologize for my english and not having a scanner (lol).
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Homework Statement
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Homework Statement
A yo-yo has a moment of inertia of 75.0 g-cm2 about its rotation axis. What is the constant torque required to make it spin to 300 rev/min in one second, starting from rest?
Homework Equations
∑ = Iα
The Attempt at a Solution
I was thinking since the question is asking for...