GO A rectangular block, with face lengths a = 35 cm and b = 45 cm, is to be suspended on a thin horizontal rod running through a narrow hole in the block. The block is then to be set swinging about the rod like a pendulum, through small angles so that it is in SHM . Figure 15-45 shows one possible position of the hole, at distance r from the block’s center, along a line connecting the center with a corner. (a) Plot the period versus distance r along that line such that the minimum in the curve is apparent. (b) For what value of r does that minimum occur? There is a line of points around the block’s center for which the period of swinging has the same minimum value. (c) What shape does that line make? Figure 15-45 Problem 48.
GO A rectangular block, with face lengths a = 35 cm and b = 45 cm, is to be suspended on a thin horizontal rod running through a narrow hole in the block. The block is then to be set swinging about the rod like a pendulum, through small angles so that it is in SHM . Figure 15-45 shows one possible position of the hole, at distance r from the block’s center, along a line connecting the center with a corner. (a) Plot the period versus distance r along that line such that the minimum in the curve is apparent. (b) For what value of r does that minimum occur? There is a line of points around the block’s center for which the period of swinging has the same minimum value. (c) What shape does that line make? Figure 15-45 Problem 48.
GO A rectangular block, with face lengths a = 35 cm and b = 45 cm, is to be suspended on a thin horizontal rod running through a narrow hole in the block. The block is then to be set swinging about the rod like a pendulum, through small angles so that it is in SHM. Figure 15-45 shows one possible position of the hole, at distance r from the block’s center, along a line connecting the center with a corner. (a) Plot the period versus distance r along that line such that the minimum in the curve is apparent. (b) For what value of r does that minimum occur? There is a line of points around the block’s center for which the period of swinging has the same minimum value. (c) What shape does that line make?
Figure 15-45 Problem 48.
Definition Definition Special type of oscillation where the force of restoration is directly proportional to the displacement of the object from its mean or initial position. If an object is in motion such that the acceleration of the object is directly proportional to its displacement (which helps the moving object return to its resting position) then the object is said to undergo a simple harmonic motion. An object undergoing SHM always moves like a wave.
1. Two pendula of slightly different length oscillate next to each other. The short one
oscillates with frequency 0.52 Hz and the longer one with frequency 0.50 Hz. If
they start of in phase determine their phase difference after 75 s.
A mass is connect to a vertical revolving axle by two strings of length L, each making an angle of 45 degrees with the axle, as shown. Both the axle and mass are revolving with angular velocity w, Gravity is directed downward. The tension in the upper string is T_upper and the tension in the lower string is T_lower.Draw a clear free body diagram for mass m. Please include real forces only.Find the tensions in the upper and lower strings, T_upper and T_lower
2. A stone is dropped into a pool of water causing ripple to spread out. After 10 s
the circumference of the ripple is 20 m. Calculate the velocity of the wave.
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