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Problem #6 The figure below shows a bead of mass m that is free to slide with friction along a guide that is hinged at its left end. The bead starts from rest at distance L from the hinge. Undergraduate Dynamics Problem The angle 0(1) = wt is indicated The guide is slowly lifted so that the angle between the guide and the positive horizontal is 0(t) = wt. a.) determine the equation of motion for the bead using the distance the bead is from the hinge as the generalized coordinate r. b.) M0) = 0. c.) (no friction), w = 0. 1 rad/sec, L = 2 m and g = 9.8 m/s³. Assuming that the kinetic friction (K = urN) always acts upward along the rod, Solve the equation exactly assuming the initial conditions: r(0) = L and Determine the time when the bead hits the hinge assuming the inputs µx - 0

Problem #6 The figure below shows a bead of mass m that is free to slide with friction along a guide that is hinged at its left end. The bead starts from rest at distance L from the hinge. Undergraduate Dynamics Problem The angle 0(1) = wt is indicated The guide is slowly lifted so that the angle between the guide and the positive horizontal is 0(t) = wt. a.) determine the equation of motion for the bead using the distance the bead is from the hinge as the generalized coordinate r. b.) M0) = 0. c.) (no friction), w = 0. 1 rad/sec, L = 2 m and g = 9.8 m/s³. Assuming that the kinetic friction (K = urN) always acts upward along the rod, Solve the equation exactly assuming the initial conditions: r(0) = L and Determine the time when the bead hits the hinge assuming the inputs µx - 0

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Undergraduate Dynamics Problem Problem #6 The figure below shows a bead of mass m that is free to slide with friction along a guide that is hinged at its left end. The bead starts from rest at distance L from the hinge. The angle 0(t) = wt is indicated The guide is slowly lifted so that the angle between the guide and the positive horizontal is O(t) = @t. a.) determine the equation of motion for the bead using the distance the bead is from the hinge as the generalized coordinate r. b.) (0) = 0. c.) (no friction), w = 0.1 rad/sec, L = 2 m and g = 9.8 m/s?. Assuming that the kinetic friction (K = uRN) always acts upward along the rod, Solve the equation exactly assuming the initial conditions: r(0) = L and Determine the time when the bead hits the hinge assuming the inputs µz = 0
Transcribed Image Text:Undergraduate Dynamics Problem Problem #6 The figure below shows a bead of mass m that is free to slide with friction along a guide that is hinged at its left end. The bead starts from rest at distance L from the hinge. The angle 0(t) = wt is indicated The guide is slowly lifted so that the angle between the guide and the positive horizontal is O(t) = @t. a.) determine the equation of motion for the bead using the distance the bead is from the hinge as the generalized coordinate r. b.) (0) = 0. c.) (no friction), w = 0.1 rad/sec, L = 2 m and g = 9.8 m/s?. Assuming that the kinetic friction (K = uRN) always acts upward along the rod, Solve the equation exactly assuming the initial conditions: r(0) = L and Determine the time when the bead hits the hinge assuming the inputs µz = 0
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