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Chapter 3 -- Part 1

- The dimensions shown in the figure are used in the calculations.
- The components of the forces normal to the fin-bone surface produce forces that resist removal of the bone.
- The locking mechanism's properties are calculated as an exercise.

- The tendency to topple due to the applied force and the tendency to slide due to the applied force are equal.

- All parts of the body have the same speed and acceleration.
- In the case of a body that rotates while falling, many motions and movements are combinations of rotation and translation.
- To discuss these motions separately is convenient.
- We discuss translation in this chapter.

- The following chapter talks about rotation.

- Using equations.

- We can apply these equations to some problems in the life sciences.

- The majority of our calculations relate to jumping.

- Consider a simple vertical jump in which the jumper starts in a crouched position and then pushes off with her feet.

- The legs generate force when they jump by pressing down on the surface.

- The upward-directed force on the jumper is equal to the upward-directed force on the surface because the feet exert a force on the surface.

- The force acts on the jumper until her feet leave the ground.

- The Earth is accelerated in the opposite direction by an equal force.
- The Earth's mass is so large that it has no effect on its acceleration.

- The acceleration is shown.

- The numerical value is the height of the jump.
- Our estimate for the height of a vertical jump is 60 cm for an average person.

- Energy considerations can be used to calculate the height of a vertical jump.
- As the jumper is accelerated upward, the work is converted to energy.

- The mass of the planet on which it is located affects the weight of the object.
- The weight of an object on the moon is one-sixth that of the Earth.
- It's a mistake to think that the height to which a person can jump on the moon increases in proportion to the decrease in weight.
- This is not the case, as shown in the 888-666-1846 888-666-1846 888-666-1846 888-666-1846 888-666-1846 888-666-1846 888-666-1846 888-666-1846 888-666-1846 888-666-1846 888-666-1846 888-666-1846 888-666-1846 888-666-1846 888-666-1846 888-666-1846 888-666-1846 888-666-1846 888-666-1846 888-666-1846 888-666-1846 888-666-1846 888-666-1846 888-666-1846 888-666-1846 888-666-1846 888-666-1846 888-666-1846 888-666-1846 888-666-1846 888-666-1846 888-666-1846 888-666-1846 888-666-1846 888-666-1846 888-666-1846 888-666-1846 888-666-1846 888-666-1846 888-666-1846 888-666-1846 888-666-1846 888-666-1846 888-666-1846 888-666-1846 888-666-1846 888-666-1846 888-666-1846

- If a person can jump to a height of 60 cm on Earth, they can jump up 6.6 m on the moon.

- The center of gravity could be raised about 60 cm if we calculated the height of a jump from a standing position.

- A much higher height can be achieved by jumping from a running start.

- The high-jump record is 2.3 m and can be reached by using part of the run to raise the center of gravity off the ground.

- We have to consider two more factors that increase the height of the jump.
- The 0.6 m can be produced by the legs in the final push-off.
- The center of gravity of a person is about 1 m above the ground.
- The jumper can change the position of his body with little effort.
- He can clear the bar with this maneuver.

- A good runner can run at a maximum speed of 10 m/s.
- 3.16 is three times the high-jump record.
- It is not possible for a jumper to convert all the energy of a full-speed run into potential energy.

- Only the force of the feet on the ground can change the direction of the running start.
- This limits the amount of energy that can be used to jump.
- In pole vaulting, with the aid of the pole, the jumper can raise his/her center of gravity by using most of the energy from the pole.

- A maximum range is obtained when the projectile is launched at a 45* angle.

- We will use this result to estimate the distance in broad jumping.

- The resulting force should be directed at a 45* angle in order to maximize the distance of the jump.

- It is assumed that a jumper can generate a force equal to twice the body weight with his feet.

- The force that launches the jumper is applied over a distance of 60 cm, which is the extent of the crouching position.

- The speed is 3.70 m/s.

- The range of the jump can be increased by swinging the legs and arms in the same direction as the jump.
- The standing broad jump is presented in two exercises.

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