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 AC = R/2 from 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 positive constants, find: a) kinetic energy of the system; 3 c is hinged at p. A, at distance R/21 ww.

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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
1
coefficient of elasticity c is hinged at p. A, at distance
AC = R/2 from 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
www
positive constants, find:
a) kinetic energy of the system3;
2.
Transcribed Image Text: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 1 coefficient of elasticity c is hinged at p. A, at distance AC = R/2 from 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 www positive constants, find: a) kinetic energy of the system3; 2.
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