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PROBLEM 2 A ring M of mass m 0,5 kg is shoved at p. A at velocity va and begins to move on a wire frame shaped as a three-quartered circle of radius R=0,2 m (as shown on the figure). At p. D the ring is flying off at velocity vp 1 m/s. If all resistances are neglected, determine the v velocity as well as the normal reaction magnitude when the ring is at point B. %3D C. %3D %D

PROBLEM 2 A ring M of mass m 0,5 kg is shoved at p. A at velocity va and begins to move on a wire frame shaped as a three-quartered circle of radius R=0,2 m (as shown on the figure). At p. D the ring is flying off at velocity vp 1 m/s. If all resistances are neglected, determine the v velocity as well as the normal reaction magnitude when the ring is at point B. %3D C. %3D %D

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PROBLEM 2 A ring M of mass m 0,5 kg is shoved at p. A at velocity vA and begins to move on a wire frame shaped as a three-quartered circle of radius R=0,2 m (as shown on the figure). At p. D the ring is flying off at velocity vp 1 m/s. If all resistances are neglected, determine the v velocity as well as the normal reaction magnitude when the ring is at point B. %3D C. PROBLEM 3 Mechanical system consists of solid body 1 of mass m=m which is connected by non-elastic cord of negligible mass to the disk 2 of mass m, =4m and radius R. A spring 3 of coefficient of elasticity e is Www hinged at the center of the disk. The other spring end is fixed. Disk 2 moves on a horizontal fixed plane without sliding. At the initial moment system is turned out of its equilibrium as body 1 is shifted to xo distance at x direction (according to the figure) and it is released without initial velocity. Assuming the system makes small oscillations around its equilibrium, neglecting all resistances, and if m, R, c, xo are 3. !C2 positive constants, find: a) kinetic energy of the system; b) total power of the forces acting upon the system; c) differential equation of the system motion (using the body 1 motion at x direction); d) the law of the system motion (using the body 1 motion at x direction).
Transcribed Image Text:PROBLEM 2 A ring M of mass m 0,5 kg is shoved at p. A at velocity vA and begins to move on a wire frame shaped as a three-quartered circle of radius R=0,2 m (as shown on the figure). At p. D the ring is flying off at velocity vp 1 m/s. If all resistances are neglected, determine the v velocity as well as the normal reaction magnitude when the ring is at point B. %3D C. PROBLEM 3 Mechanical system consists of solid body 1 of mass m=m which is connected by non-elastic cord of negligible mass to the disk 2 of mass m, =4m and radius R. A spring 3 of coefficient of elasticity e is Www hinged at the center of the disk. The other spring end is fixed. Disk 2 moves on a horizontal fixed plane without sliding. At the initial moment system is turned out of its equilibrium as body 1 is shifted to xo distance at x direction (according to the figure) and it is released without initial velocity. Assuming the system makes small oscillations around its equilibrium, neglecting all resistances, and if m, R, c, xo are 3. !C2 positive constants, find: a) kinetic energy of the system; b) total power of the forces acting upon the system; c) differential equation of the system motion (using the body 1 motion at x direction); d) the law of the system motion (using the body 1 motion at x direction).
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