Particles on Slopes (Leaving Cert Applied Maths): Quizzes

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Particles on Slopes
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What 3 key concepts do particles on slopes problems combine?

Force resolution, tension, connected motion

What type of string connects the masses in these problems?

Light, inextensible string

How do the accelerations of connected masses compare?

Same magnitude

In what direction does weight act on a mass on an inclined plane?

Vertically downward

Which weight component causes a mass to slide down the slope?

Parallel to slope

For angle AA, what is the parallel weight component down the slope?

mgsin⁡Amg \sin A

For angle AA, what is the perpendicular weight component into the surface?

mgcos⁡Amg \cos A

What is the normal reaction RR on the inclined plane?

R=mgcos⁡AR = mg \cos A

How does tension vary throughout a light, inextensible string?

Tension is constant throughout

What does a negative acceleration value indicate?

Motion opposite to assumed direction

What is the first step in solving particles on slopes problems systematically?

Identify the system

For the hanging mass, which two forces act in opposite directions?

Weight downward, tension upward

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