(K=19600 N/m). When the ball impacts the spring, the spring compresses by 10cm (

Question

(K=19600 N/m). When the ball impacts the spring, the spring compresses by 10cm (before rebounding and pushing the ball back up to the top of the ramp). How fast was the sphere traveling when it was exactly halfway down the ramp. A simple bridge is formed by resting a uniform plank (20m and 1000kg) on two supports located at the respective ends of the planks. If a 100kg person stands 1/4 of the way down the plank. What is the normal force exerted by the support closest to the person? What is the normal force exerted by the other support?

Explanation / Answer

if N1 is the normal force exerted by the support nearest to person and N2 is the normal force by the farthest support.

For static equilibrium, clockwise moment should be equal to counter clock wise moment

Taking moment about far end

N1 x 20 ( clock wise moment) = 100 x9.8 x 15 + 1000 x 9.8 x 10 ( anti-clockwise moment)

so, N1= 5635 N ( normal force by closest support)

similarly taking moment about near end

N2x20 ( anti-clockwise moment) = 100 x9.8x5 +1000x9.8 x 10 ( clockwise moment)

so, N2 = 5145 N ( normal force by farthest support)

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