bead block 4) Bead on a Block A block is attached to a spring so that...
please answer as many questions as possible. I will “thumb up” the answers. Thanks! 1. You are on a boat, which is bobbing up and down. The boat's vertical displacement y is given by y 1.2 cos(t). Find the amplitude, angular frequency, phase constant, frequency, and period of the motion. (b) Where is the boat at t 1 s? (c) Find the velocity and acceleration as functions of time t. (d) Find the initial values of the position, velocity, and...
A 750-gram block is attached to a spring as shown in the following diagram. The system is placed on a horizontal surface. The block is released at a distance of 0.15 m from the equilibrium position at Xo. It oscillates back and forth with a frequency of 0.25 Hz. Assume that the surface is frictionless. The oscillation is an SHM. (a) Find the spring constant. (b) Find the elastic P.E. in the system when the block is at the maximum...
A block weighing 14.0 N is attached to the lower end of a vertical spring (k = 238.0 N/m), the other end of which is attached to a ceiling. The block oscillates vertically and has a kinetic energy of 1.90 J as it passes through the point at which the spring is unstretched. (a) What is the period of the oscillation? (b) Use the law of conservation of energy to determine the maximum distance the block moves above the point...
A block is attached to a horizontal spring and oscillates back and forth on a frictionless horizontal surface at a frequency of 3.00 Hz, with an amplitude of 5.08 x 10-2m. At the point where the block has its maximum speed, it splits into two identical (equal-mass) blocks and only one of these remains attached to the spring. A. What is the amplitude and frequency of the simple harmonic motion of the piece that remains attached to the spring? B....
A small block attached to an ideal spring is released from a position x=A. It oscillates with a frequency f=328 Hz. (a) What is the period of oscillation? (b) The same object is then pulled back and released again, but this time it is released from x=2A. What is the new oscillation frequency?
A block of mass M is attached to a wall by a massless spring with spring constant k. The block is allowed to oscillate on a frictionless surface. A second block of mass m is placed on top of the first block. The coefficient of static friction between the two blocks is his. What is the angular frequency of oscillation, and what is the maximum possible amplitude of oscillation such that the second block will not fly off?
An oscillator consists of a block attached to a spring (k = 450 N/m). At some time t, the position (measured from the system's equilibrium location), velocity, and acceleration of the block are x = 0.500 m, v = -12.5 m/s, and a = -107 m/s^2. (a) Calculate the frequency of oscillation. HZ (b) Calculate the mass of the block. kg (c) Calculate the amplitude of the motion. m
2. Following problem 1, the same spring-mass is oscillating, but the friction is involved. The spring-mass starts oscillating at the top so that its displacement function is x Ae-yt cos(wt)t is observed that after 5 oscillation, the amplitude of oscillations has dropped to three-quarter (three-fourth) of its initial value. (a) 2 pts] Estimate the value ofy. Also, how long does it take the amplitude to drop to one-quarter of initial value? 0 Co [2 pts] Estimate the value of damping...
A block of mass m is 650 g which is tied to a spring whose spring constant is 62 N/m. The block is pulled a distance x=11 cm from its equilibrium position at x=0 on a frictionless surface and released from rest at t=0 s. What are the angular frequency, the frequency, and the period of the resulting motion? What is the amplitude of the oscillation? What is the maximum speed Vm of the oscillating block, and where is the...
A block is attached to the top of a spring that stands vertically on a table. The spring stiffness is 57 N/m, its relaxed length is 31 cm, and the mass of the block is 305 g. The block is oscillating up and down as the spring stretches and compresses. At a particular time you observe that the velocity of the block is <0, 0.0877, 0> m/s and the position of the block is <0, 0.0798, 0> m relative to...