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.
054 O In Fig. 15-49a, a metal plate is mounted on an axle through
its center of mass. A spring with k = 2000 N/m connects a wall with a
point on the rim a distance r= 2.5 cm from the center of mass
Initially the spring is at its rest length. If the plate is rotated by 7° and
released, it rotates about the axle in SHM, with its angular position
given by Fig. 15-49b.The horizontal axis scale is set by t, = 20 ms. What
is the rotational inertia of the plate about its center of mass?
e (deg)
t (ms)
10
(a)
(6)
A cart of mass 206 g is placed on a frictionless horizontal air track. A spring having a spring constant of 10.80 N/ m is attached between the cart and the left end of the track. When in equilibrium, the cart is located 10.0 cm from the left end of the track. If the cart is displaced 5.10 cm from its equilibrium position, find(a) the period at which it oscillates
A cart of mass 206 g is placed on a frictionless horizontal air track. A spring having a spring constant of 10.80 N/ m is attached between the cart and the left end of the track. When in equilibrium, the cart is located 10.0 cm from the left end of the track. If the cart is displaced 5.10 cm from its equilibrium position, find (d) its speed when it is 12.0 cm from the left end of the track.
A light elastic string, of natural length 0.8 m and modulus of elasticity 35-4 N, has one end A
attached to a fixed point and the other end B attached to a particle P of mass 3 kg. Initially P is
held at rest at A. It is then released and allowed to fall. Calculate the speed of P when the length of
the string is 1-2 m.
Physics for Scientists and Engineers: A Strategic Approach, Vol. 1 (Chs 1-21) (4th Edition)
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