## Elements of Natural Philosophy |

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Page 8

The velocity of a point is said to be accelerated or retarded according as it

increases or diminishes , but the word

sense , on the understanding that we may regard its quantity as either positive or

negative ...

The velocity of a point is said to be accelerated or retarded according as it

increases or diminishes , but the word

**acceleration**is generally used in eithersense , on the understanding that we may regard its quantity as either positive or

negative ...

Page 9

If we choose as the unit of

of time to the velocity of a point , an

velocity in unit of time and , therefore , at units of velocity in t units of time .

If we choose as the unit of

**acceleration**that which adds a unit of velocity per unitof time to the velocity of a point , an

**acceleration**measured by a will add a units ofvelocity in unit of time and , therefore , at units of velocity in t units of time .

Page 10

Let a point describe a circle , ABD , radius R , with uniform velocity V . Then , to

determine the direction of

point . O , lines OP , ol , etc . , " representing the velocity at A , B , etc . , in direction

...

Let a point describe a circle , ABD , radius R , with uniform velocity V . Then , to

determine the direction of

**acceleration**, we must draw , as below , from a fixedpoint . O , lines OP , ol , etc . , " representing the velocity at A , B , etc . , in direction

...

Page 11

When a point moves uniformly in a circle of radius R , with velocity V , the whole

36 . 43 . With uniform

When a point moves uniformly in a circle of radius R , with velocity V , the whole

**acceleration**is directed towards the centre , and has the constant value . See $36 . 43 . With uniform

**acceleration**in the direction of motion , a point describes ... Page 12

Of course the preceding formulae apply to a constant retardation , as in the case

of a projectile moving vertically upwards , by simply giving ů a negative sign . 44 .

When there is uniform

Of course the preceding formulae apply to a constant retardation , as in the case

of a projectile moving vertically upwards , by simply giving ů a negative sign . 44 .

When there is uniform

**acceleration**in a constant direction , the path described ...### What people are saying - Write a review

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### Common terms and phrases

acceleration according acting action amount angle angular applied attraction axes axis body called centre centre of inertia circle component condition consider constant corresponding couple course curvature curve denote density described determined direction displacement distance divided effect elastic elements energy equal equations equilibrium expression figure fixed fluid force friction give given gravity harmonic Hence important increase infinitely small instant interval kinetic length less mass matter mean measured method motion moving natural normal observation opposite parallel particle passing path period perpendicular plane portion position potential practical pressure principle produce projection proportional quantity radius reference relative remain remarkable resistance respectively rest resultant right angles rigid rotation round sides simple solid space spherical square straight strain stress suppose surface theory turned uniform unit velocity vertical weight whole wire