Academycouse
Saturday, 4 May 2019
Torque
Relationship between force F, torque τ, linear momentum p,
and angular momentum L in
a system which has rotation constrained in one plane only (forces and moments
due to gravity and friction not
considered).
Torque, moment or moment of force (see the terminology below), is
the tendency of a force to rotate an object about an axis,[1] fulcrum, or pivot.
Just as a force is a push or a pull, a torque can be thought of as a twist to
an object. Mathematically, torque is defined as the cross product of the
lever-arm distance vector and the force vector,
which tends to produce rotation.
Loosely speaking, torque is a measure of the turning force on an object
such as a bolt or a flywheel. For example, pushing or pulling the handle of a wrench connected to a
nut or bolt produces a torque (turning force) that loosens or tightens the nut
or bolt.
The symbol for torque is typically τ, the Greek letter tau. When it is
called moment, it is commonly denoted M.
The magnitude of torque depends on three quantities: the force applied,
the length of the lever arm[2] connecting the axis to the point of force application, and the angle
between the force vector and the lever arm. In symbols:
where
τ is the torque vector and τ is the magnitude of the torque,
r is the displacement vector (a vector from the point from which torque
is measured to the point where force is applied),
F is the force vector,
θ is the angle between the force vector and the lever arm vector.
The length of the lever arm is particularly important; choosing this
length appropriately lies behind the operation of levers, pulleys, gears, and most
other simple machines involving a
mechanical advantage.
Monday, 4 February 2019
Antonyms
Benefit - Loss
Cold - Hot
Guest - Host
Bold- Timid
Busy- idle
Sharp - Blunt
Agree - Disagree
Close - open
Difficult - Easy
Full - Empty
ENJOY - SUFFER
CONTINUE - DISCONTINUE
Cold - Hot
Guest - Host
Bold- Timid
Busy- idle
Sharp - Blunt
Agree - Disagree
Close - open
Difficult - Easy
Full - Empty
ENJOY - SUFFER
CONTINUE - DISCONTINUE
Sunday, 3 February 2019
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