PROBLEM 2 A ring M of mass m 0,2 kg is shoved at p. A at velocity v4 and begins to move on a wire frame shaped as a three-quartered circle of radius R 0,4 m (as shown on the figure). At p. D %3D the ring is flying off with velocity vp. The magnitude of the normal reaction at p. C is Nc = 8 N. If all resistances are %3D neglected, determine the v4 and VD magnitudes.
PROBLEM 2 A ring M of mass m 0,2 kg is shoved at p. A at velocity v4 and begins to move on a wire frame shaped as a three-quartered circle of radius R 0,4 m (as shown on the figure). At p. D %3D the ring is flying off with velocity vp. The magnitude of the normal reaction at p. C is Nc = 8 N. If all resistances are %3D neglected, determine the v4 and VD magnitudes.
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Transcribed Image Text:VD D
PROBLEM 2
A ring M of mass m = 0,2 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=0,4 m (as shown on the figure). At p. D
the ring is flying off with velocity vp. The magnitude of the
°C
\R
M
%3D
->
VA
normal reaction at p. C is N = 8 N. If all resistances are
%3D
neglected, determine the v and
VD magnitudes.
В
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 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
ocillations around its equilibrium, neglecting all resistances, and if m, R, c, xo are
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).
%3D
3.
%3D
1
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