A point mass (mass m1) is shot upwards a rough inclined plane (coefficient of kinetic friction μ) with an initial velocity v0. In point B it hits a resting point mass m2, which after this 1st impact bounces against a spring (stiffness k) at the end of the smooth path BC. a) Determine the velocity v1 of the point mass m1 immediately before the impact. b) Calculate the coefficient of restitution e if the maximum compression of the spring is f. Given: m1 = m2 = m = 0.1 kg, g = 9.81 m/s, α = 30◦, v0 = 6m/s, μ = 0.5, k = 400N/m, a = 1 m.
A point mass (mass m1) is shot upwards a rough inclined plane (coefficient of kinetic friction μ) with an initial velocity v0. In point B it hits a resting point mass m2, which after this 1st impact bounces against a spring (stiffness k) at the end of the smooth path BC. a) Determine the velocity v1 of the point mass m1 immediately before the impact. b) Calculate the coefficient of restitution e if the maximum compression of the spring is f. Given: m1 = m2 = m = 0.1 kg, g = 9.81 m/s, α = 30◦, v0 = 6m/s, μ = 0.5, k = 400N/m, a = 1 m.
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A point mass (mass m1) is shot upwards a rough inclined plane (coefficient of kinetic friction μ) with an initial velocity
v0. In point B it hits a resting point mass m2, which after this 1st impact bounces against a spring (stiffness k) at the end
of the smooth path BC.
- a) Determine the velocity v1 of the point mass m1 immediately
before the impact.
- b) Calculate the coefficient of restitution e if the maximum
compression of the spring is f.
Given: m1 = m2 = m = 0.1 kg, g = 9.81 m/s, α = 30◦, v0 = 6m/s,
μ = 0.5, k = 400N/m, a = 1 m.
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