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A crate of mass M rests against a stop block s, which prevents the crate from moving down the plane. If the coefficients of static and kinetic friction between the plane and the crate are { μ }_{ s } and { μ }_{ k } respectively, determine the time needed for the force F to give the crate a speed v up the plane. The force always acts parallel to the plane and has a magnitude of F = at. Hint: First determine the time needed to overcome static friction and start the crate moving. Given: M = 50 kg , θ = 30 deg , g = { 9.81 m/s }^{ 2 } , v = 2 m/s , { μ }_{ s } = 0.3 , { μ }_{ k } = 0.2 , a = 300 N/s

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