Phy201
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A 5 kg cart rests on an incline which makes an angle of 30 degrees with the horizontal.
• Sketch this situation with the cart on the incline and the x axis parallel to the incline. The gravitational force on the cart acts vertically downward, and therefore has nonzero components parallel and perpendicular to the incline. Sketch the x and y components of the force, as estimate the magnitude of each component.
The gravitational force will be greater than the horizontal force and the weight is greater than the air pressure.
Your estimate should be numerical.
• Using the definitions of the sine and cosine, find are the components of the cart's weight parallel and perpendicular to the incline.
Parallel
• How much elastic or compressive force must the incline exert to support the cart, and what is the direction of this force?
The incline must have elastic force to withhold the cart and compressive force to in turn allow the cart to roll
• If no other force is exerted parallel to the incline, what will be the cart's acceleration?
9.8m/s^2
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15min
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Your estimates and your solutions should all be quantitative; all vector quantities should specify magnitude and direction.
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