The Principles of Elementary Mechanics
The Principles of Elementary Mechanics
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. (5) EXAMPLES.
1. A smooth inclined plane is 100 feet long; what must be its inclination that the time of descent of a parti cledown it shall be 5 seconds?
[292. ] MOTION OF A PARTICLE. 209 2. A body is projected up a smooth plane whose slope (that is its inclination with the horizontal) is 45 degrees, with a velocity of 50 feet per second ; find its posi- tion at the end of 3 seconds ; five seconds ; ten seconds.
3. A body starts from rest at the top of an inclined plane whose length is 100 f...eet, and height 20 feet ; with what velocity must a body be projected up the plane from its foot in order to meet the former one at the middle of the plane ?
4. Find the line of quickest descent from a point with- out a circle to the circumference of the circle.
5. A train of cars starts from rest on an inclined plane and runs down it by the force of gravity only ; the grade being 40 feet to the mile and the coefficient of friction -j-J-g-, what will be its velocity at the end of one mile ?
d A car starts from the upper end of an inclined plane whose length is one-half of a mile, and grade 50 feet per mile, coefficient of friction ^J^, and runs down the plane ; how far will it go on a succeeding hori- zoutal plane before being brought to rest, the coeffi- cient of friction remaining constant ?
What to read after The Principles of Elementary Mechanics?
You can find similar books in the "Read Also" column, or choose other free books by De Volson Wood to read onlineMoreLess
To quickly assess the difficulty of the text, read a short excerpt:
. (5) EXAMPLES.
1. A smooth inclined plane is 100 feet long; what must be its inclination that the time of descent of a parti cledown it shall be 5 seconds?
[292. ] MOTION OF A PARTICLE. 209 2. A body is projected up a smooth plane whose slope (that is its inclination with the horizontal) is 45 degrees, with a velocity of 50 feet per second ; find its posi- tion at the end of 3 seconds ; five seconds ; ten seconds.
3. A body starts from rest at the top of an inclined plane whose length is 100 f...eet, and height 20 feet ; with what velocity must a body be projected up the plane from its foot in order to meet the former one at the middle of the plane ?
4. Find the line of quickest descent from a point with- out a circle to the circumference of the circle.
5. A train of cars starts from rest on an inclined plane and runs down it by the force of gravity only ; the grade being 40 feet to the mile and the coefficient of friction -j-J-g-, what will be its velocity at the end of one mile ?
d A car starts from the upper end of an inclined plane whose length is one-half of a mile, and grade 50 feet per mile, coefficient of friction ^J^, and runs down the plane ; how far will it go on a succeeding hori- zoutal plane before being brought to rest, the coeffi- cient of friction remaining constant ?
What to read after The Principles of Elementary Mechanics?
You can find similar books in the "Read Also" column, or choose other free books by De Volson Wood to read onlineMoreLess
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