Wooden block of mass M located on a smooth horizontal surface is connected to a spring with constant elasticity k and negligible mass, e which has the other end fixed (see figure). The block is hit by bullet bulk m and velocity v0 and remains in it. (a) Find the amplitude of the oscillations of the system. (b) Find the angular frequency and period of oscillations of the system. (c) Write the equation of oscillations of the system. Numerical calculation: M = 1 kg; k = 2500 N / m; m = 10 g. Numerical calculation to be made based on the value of the velocity of the bullet that i corresponds to the first letter of your name: A. v0 = 1010 m/s B. v0 = 1020 m/s C. v0 = 1030 m/s Ç. v0 = 1040 m/s D. v0 = 1050 m/s Dh. v0 = 1060 m/s E. v0 = 1070 m/s Ë. v0 = 1080 m/s F. v0 = 1090 m/s G. v0 = 1100 m/s Gj. v0 = 1110 m/s H. v0 = 1120 m/s I. v0 = 1130 m/s J. v0 = 1140 m/s K. v0 = 1150 m/s L. v0 = 1160 m/s Ll. v0 = 1170 m/s M. v0 = 1180 m/s N. v0 = 1190 m/s Nj. v0 = 1200 m/s O. v0 = 1210 m/s P. v0 = 1220 m/s Q. v0 = 1230 m/s R. v0 = 1240 m/s Rr. v0 = 1250 m/s S. v0 = 1260 m/s Sh. v0 = 1270 m/s T. v0 = 1280 m/s Th. v0 = 1290 m/s U. v0 = 1300 m/s V. v0 = 1310 m/s X. v0 = 1320 m/s Xh. v0 = 1330 m/s Y. v0 = 1340 m/s Z. v0 = 1350 m/s Zh. v0 = 1360 m/s Instruction for solving the task: In the application do you use the law of conservation of impulse, and the law of conservation of energy; in application b use the concepts of oscillation characteristics and in application d use the oscillation equation periodic harmonics.
Simple harmonic motion
Simple harmonic motion is a type of periodic motion in which an object undergoes oscillatory motion. The restoring force exerted by the object exhibiting SHM is proportional to the displacement from the equilibrium position. The force is directed towards the mean position. We see many examples of SHM around us, common ones are the motion of a pendulum, spring and vibration of strings in musical instruments, and so on.
Simple Pendulum
A simple pendulum comprises a heavy mass (called bob) attached to one end of the weightless and flexible string.
Oscillation
In Physics, oscillation means a repetitive motion that happens in a variation with respect to time. There is usually a central value, where the object would be at rest. Additionally, there are two or more positions between which the repetitive motion takes place. In mathematics, oscillations can also be described as vibrations. The most common examples of oscillation that is seen in daily lives include the alternating current (AC) or the motion of a moving pendulum.
Wooden block of mass M located on a smooth horizontal surface
is connected to a spring with constant elasticity k and negligible mass, e
which has the other end fixed (see figure). The block is hit by bullet bulk
m and velocity v0 and remains in it.
(a) Find the amplitude of the oscillations of the system.
(b) Find the angular frequency and period of oscillations of the system.
(c) Write the equation of oscillations of the system.
Numerical calculation: M = 1 kg; k = 2500 N / m; m = 10 g.
Numerical calculation to be made based on the value of the velocity of the bullet that i
corresponds to the first letter of your name:
A. v0 = 1010 m/s
B. v0 = 1020 m/s
C. v0 = 1030 m/s
Ç. v0 = 1040 m/s
D. v0 = 1050 m/s
Dh. v0 = 1060 m/s
E. v0 = 1070 m/s
Ë. v0 = 1080 m/s
F. v0 = 1090 m/s
G. v0 = 1100 m/s
Gj. v0 = 1110 m/s
H. v0 = 1120 m/s
I. v0 = 1130 m/s
J. v0 = 1140 m/s
K. v0 = 1150 m/s
L. v0 = 1160 m/s
Ll. v0 = 1170 m/s
M. v0 = 1180 m/s
N. v0 = 1190 m/s
Nj. v0 = 1200 m/s
O. v0 = 1210 m/s
P. v0 = 1220 m/s
Q. v0 = 1230 m/s
R. v0 = 1240 m/s
Rr. v0 = 1250 m/s
S. v0 = 1260 m/s
Sh. v0 = 1270 m/s
T. v0 = 1280 m/s
Th. v0 = 1290 m/s
U. v0 = 1300 m/s
V. v0 = 1310 m/s
X. v0 = 1320 m/s
Xh. v0 = 1330 m/s
Y. v0 = 1340 m/s
Z. v0 = 1350 m/s
Zh. v0 = 1360 m/s
Instruction for solving the task: In the application do you use the law of conservation of
impulse, and the law of conservation of energy; in application b use the concepts of
oscillation characteristics and in application d use the oscillation equation
periodic harmonics.
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