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ch-4 Impulse and Momentum
ch-4 Impulse and Momentum

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Physics 201 Analytical Mechanics

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... 20. A boy on a skateboard pushes off the ground with his foot. He and the skateboard accelerate down the sidewalk due to the force A. he exerts against the ground. B. between the skateboard wheels and the ground. C. the ground exerts against his foot. D. of gravity acting on the skateboard. ...
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... Now we use: ax = dvx/dt and ay = dvy/dt. Since  is not constant, we need to use the product rule: ax = dvx/dt = d[- r sin(q) ]/dt = r d[-]/dt sin(q) + - r d[sin(q)]/dt = -a r sin(q) + -2 r cos(q) . In a similar way, we get: ay = +a r cos(q) + -2 r sin(q) . ...
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... Newton realized that gravity acts everywhere in the universe, not just on Earth. It is the force that makes an apple fall to the ground. It is the force that keeps the moon orbiting around Earth. It is the force that keeps all the planets in our solar system orbiting around the sun. What Newton real ...
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... As it can be seen from the figure below, an 18kg hanging box is connected by a light, inextensible string over a light, frictionless pulley to a 10kg block that is pulled by an external force having magnitude F=300N. If the coefficient of kinetic friction between the surface and the 10kg mass is 0.1 ...
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Center of mass



In physics, the center of mass of a distribution of mass in space is the unique point where the weighted relative position of the distributed mass sums to zero or the point where if a force is applied causes it to move in direction of force without rotation. The distribution of mass is balanced around the center of mass and the average of the weighted position coordinates of the distributed mass defines its coordinates. Calculations in mechanics are often simplified when formulated with respect to the center of mass.In the case of a single rigid body, the center of mass is fixed in relation to the body, and if the body has uniform density, it will be located at the centroid. The center of mass may be located outside the physical body, as is sometimes the case for hollow or open-shaped objects, such as a horseshoe. In the case of a distribution of separate bodies, such as the planets of the Solar System, the center of mass may not correspond to the position of any individual member of the system.The center of mass is a useful reference point for calculations in mechanics that involve masses distributed in space, such as the linear and angular momentum of planetary bodies and rigid body dynamics. In orbital mechanics, the equations of motion of planets are formulated as point masses located at the centers of mass. The center of mass frame is an inertial frame in which the center of mass of a system is at rest with respect to the origin of the coordinate system.
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