A massless rod with length L is
attached to two springs at its two masses (both m) at its two ends.
The masses are connected to springs. The springs can move in the
horizontal and vertical directions as shown in the figure and they
both have a stiffness k. Note that gravity acts. Assume the springs
are un-stretched when the rod is vertical. Find the equation of
motion for the system using 1. Newton’s second law 2. Conservation
of energy. Please be as thorough as possible I do really want to
learn this.
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A massless rod with length L is
attached to two springs at its two masses (both...
Consider two masses, both with mass M, attached to a spring with spring constant k. They...
Consider two masses, both with mass M, attached to a spring with
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between the rails is theta. There is no friction: the masses slide
freely along the rails. Assume that the masses move together so
that the spring remains parallel to its equilibrium position. The
masses are initially moving upwards such that the spring is being
stretched past its equilibrium length. Describe what happens next,
by using Newton's second...
2) A particle of mass m, is attached to a massless rod of length L which...
2) A particle of mass m, is attached to a massless rod of length L which is pivoted at O and is free to rotate in the vertical plane as shown below. A bead of mass my is free to slide along the smooth rod under the action of a spring of stiffness k and unstretched length Lo. (a) Choose a complete and independent set of generalized coordinates. (b) Derive the governing equations of motion. m2
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Consider two masses, both with mass M, attached to a spring with
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between the rails is theta. There is no friction: the masses slide
freely along the rails. Assume that the masses move together so
that the spring remains parallel to its equilibrium position. The
masses are initially moving upwards such that the spring is being
stretched past its equilibrium length. Describe what happens next,
by using Newton's second...
2) A particle of mass m, is attached to a massless rod of length L which is pivoted at O and is free to rotate in the vertical plane as shown below. A bead of mass my is free to slide along the smooth rod under the action of a spring of stiffness k and unstretched length Lo. (a) Choose a complete and independent set of generalized coordinates. (b) Derive the governing equations of motion. m2
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The figure shows a long, nonconducting, massless rod of length L, pivoted at its center and balanced with a block of weight W at a distance x from the left end. At the left and right ends of the rod are attached small conducting spheres with positive charges q and 2q, respectively. A distance h directly beneath each of these spheres is a fixed sphere with positive charge Q. (a) Find equation for the distance x when the rod is...
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