GO In Fig. 15-41, block 2 of mass 2.0 kg oscillates on the end of a spring in SHM with a period of 20 ms. The block's position is given by x = (1.0 cm) cos( ωt + π /2). Block 1 of mass 4.0 kg slides toward block 2 with a velocity of magnitude 6.0 m/s, directed along the spring’s length. The two blocks undergo a completely inelastic collision at time t = 5.0 ms. (The duration of the collision is much less than the period of motion.) What is the amplitude of the SHM after the collision? Figure 15-41 Problem 34.
GO In Fig. 15-41, block 2 of mass 2.0 kg oscillates on the end of a spring in SHM with a period of 20 ms. The block's position is given by x = (1.0 cm) cos( ωt + π /2). Block 1 of mass 4.0 kg slides toward block 2 with a velocity of magnitude 6.0 m/s, directed along the spring’s length. The two blocks undergo a completely inelastic collision at time t = 5.0 ms. (The duration of the collision is much less than the period of motion.) What is the amplitude of the SHM after the collision? Figure 15-41 Problem 34.
GO In Fig. 15-41, block 2 of mass 2.0 kg oscillates on the end of a spring in SHM with a period of 20 ms. The block's position is given by x = (1.0 cm) cos(ωt + π/2). Block 1 of mass 4.0 kg slides toward block 2 with a velocity of magnitude 6.0 m/s, directed along the spring’s length. The two blocks undergo a completely inelastic collision at time t = 5.0 ms. (The duration of the collision is much less than the period of motion.) What is the amplitude of the SHM after the collision?
Figure 15-41 Problem 34.
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.
In Fig. 15-28, a spring–blocksystem is put into SHM in two experiments. In the first, the block ispulled from the equilibrium positionthrough a displacement d1 and thenreleased. In the second, it is pulledfrom the equilibrium positionthrough a greater displacement d2 and then released. Are the(a) amplitude, (b) period, (c) frequency, (d) maximum kinetic energy, and (e) maximum potential energy in the second experimentgreater than, less than, or the same as those in the first experiment?
A small block is attached to an ideal spring and is moving in SHM on a horizontal, frictionless surface. When the ampli tude of the motion is 0.090 m, it takes the block 2.70 s to travel from x = 0.090 m to x = -0.090 m. If the amplitude is doubled, to 0.180 m, how long does it take the block to travel (a) from x = 0.180 m to x = -0.180 m and (b) from x = 0.090 m to x = -0.090 m?
A sphere of mass m=3.5 kg can move across a horizontal, frictionless surface. Attached to the sphere is an ideal spring with spring constant k=24 N/m. At time t=0the sphere is pulled aside from the equilibrium position, x=0, a distance d=12 cm in the positive direction and released from rest. After this time, the system oscillates between x=±d.
a. Determine the magnitude of the force, in newtons, required to initially displace the sphere d=12�=12 centimeters from equilibrium.
b. What is the sphere's distance from equilibrium, in meters, at time t=1�=1 second? c. Determine the frequency, in hertz, with which the spring–mass system oscillates after being released. d. Calculate the maximum speed, in meters per second, attained by the sphere. e. At what point in the motion does the sphere reach maximum speed? f. Calculate the magnitude of the maximum acceleration, in meters per second squared, experienced by the sphere.
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.