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A vertical axis is free to rotate. A massless, horizontal rod is attached to the axis...
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
A meter stick is mounted to a vertical post such that it is free to rotate...
A meter stick is mounted to a vertical post such that it is free to rotate in the vertical plane. The rotation axis and center of mass of the meter stick are at the same location. Two masses are attached to the meter stick as shown. M2 is 2.5 kg and is attached to the right end of the stick, i.e 50 cm from the rotation axis. M1 is attached to the left side of the meter stick a distance...
A mass m attached to the end of a massless rod of length L is free...
A mass m attached to the end of a massless rod of length L is free to swing below the plane of support, as shown in the figure above. The Hamiltonian for this system is given by 2 2 where θ and φ are defined as shown in the figure. On the basis of Hamilton's equations of motion, the gepsralized coordinate or momentum that isa constant in time is (A) 0 (B) ф (C) 0 (D) Pe (E) Po
Hi i need help with the question. Could you draw the free body diagram of m1,m2...
Hi i need help with the question. Could you draw the free body
diagram of m1,m2 and m3 and an explaination for the problem.
Thanks
FB-diagram a-calculation m1 m2 7. (20 points) Consider a block of mass M on a ramp of angle e. The block is attached by massless strings over massless, frictionless pulleys to two objects, mi and m2, both of mass m where m < M. Assume there is no friction between the block of mass M...
A rigid, massless rod has three particles with equal masses attached to it as shown in Figure P8.59.
A rigid, massless rod has three particles with equal masses attached to it as shown in Figure P8.59. The rod is free to rotate in a vertical plane about a friction-less axle perpendicular to the rod through the point Pand is released from rest in the horizontal position at t - 0. Assuming m and d are known, find (a) the moment of inertia of the system (rod plus particles) about the pivot, (b) the torque acting on the system...
A rod of mass M and length 2L is free to rotate in a vertical plane...
A rod of mass M and length 2L is free to rotate in a vertical plane about an axis through O, as shown in the figure. The axis is normal to the plane of the paper. Three mosses M, M, and 2M are attached to the rod as shown. With the rod in a horizontal position, the system is released from rest. (a) Find the net torque on the rod about the axis of rotation immediately after the system is...
mi mz 7. (20 points) Consider a block of mass M on a ramp of angle...
mi mz 7. (20 points) Consider a block of mass M on a ramp of angle 0. The block is attached by massless strings over massless, frictionless pulleys to two objects, m1 and m2, both of mass m where m< M. Assume there is no friction between the block of mass M and the ramp. Draw free-body diagrams for all three masses, keeping vectors consistent between diagrams. Label any vectors that have equal magnitude What is the acceleration of the...
A massless horizontal bar (in blue) is free to rotate about the axis as shown. It...
A massless horizontal bar (in blue) is free to rotate about the axis as shown. It rotates at a constant $\omega$. Each of the masses (in red) is 7 kilograms, and can be affixed at various positions along the bar. By what factor does the moment of inertia of the system decrease, if the masses are moved from their original positions 0.9 meters away from the axis to final postions 0.65 meters away from the axis?
2. Consider a particle of mass M attached to a rigid massless rod of fixed length...
2. Consider a particle of mass M attached to a rigid massless rod of fixed length R whose other end is fixed at the origin. The rod is free to rotate about its fixed point. (a) Give an argument why the Hamiltonian for the system may be written as 21 21 with/-MR2 (b) If the particle carries charge q, and the rotor is placed in a constant magnetic field B, what is the modified Hamiltonian? (e) What is the energy...
Consider the figure above consisting of three particles of mass m attached to a massless rod. Given an axis of rotation...
Consider the figure above consisting of three particles of mass m attached to a massless rod. Given an axis of rotation through point P, the rod rotates as shown in the figure. If the rod is released from rest in the horizontal position at t = 0. What is the angular acceleration of the system (rod and three particles) immediately after being released? Let d = 2.50 m. Your Answer: T !
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
A mass m attached to the end of a massless rod of length L is free to swing below the plane of support, as shown in the figure above. The Hamiltonian for this system is given by 2 2 where θ and φ are defined as shown in the figure. On the basis of Hamilton's equations of motion, the gepsralized coordinate or momentum that isa constant in time is (A) 0 (B) ф (C) 0 (D) Pe (E) Po
Hi i need help with the question. Could you draw the free body
diagram of m1,m2 and m3 and an explaination for the problem.
Thanks
FB-diagram a-calculation m1 m2 7. (20 points) Consider a block of mass M on a ramp of angle e. The block is attached by massless strings over massless, frictionless pulleys to two objects, mi and m2, both of mass m where m < M. Assume there is no friction between the block of mass M...
A rod of mass M and length 2L is free to rotate in a vertical plane about an axis through O, as shown in the figure. The axis is normal to the plane of the paper. Three mosses M, M, and 2M are attached to the rod as shown. With the rod in a horizontal position, the system is released from rest. (a) Find the net torque on the rod about the axis of rotation immediately after the system is...
mi mz 7. (20 points) Consider a block of mass M on a ramp of angle 0. The block is attached by massless strings over massless, frictionless pulleys to two objects, m1 and m2, both of mass m where m< M. Assume there is no friction between the block of mass M and the ramp. Draw free-body diagrams for all three masses, keeping vectors consistent between diagrams. Label any vectors that have equal magnitude What is the acceleration of the...
2. Consider a particle of mass M attached to a rigid massless rod of fixed length R whose other end is fixed at the origin. The rod is free to rotate about its fixed point. (a) Give an argument why the Hamiltonian for the system may be written as 21 21 with/-MR2 (b) If the particle carries charge q, and the rotor is placed in a constant magnetic field B, what is the modified Hamiltonian? (e) What is the energy...
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