A mass m on a spring with spring constant k oscillates with x position equal to: x = xocos (wt + 7) a. Graph the position as a function of time. b. What is the velocity as a function of time? C. What is the acceleration as a function of time?
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- A mass of 2.00kg is pulled to the right 15.5 cm and released at t=0 seconds. The period of the oscillation on a frictionless surface is measured to be 2.05 seconds. a. what is the spring constent? b. what is the maximum velocity? c. what is the maximum acceleration?A mass m = 3.3 kg is at the end of a horizontal spring on a frictionless horizontal surface. The mass is oscillating with an amplitude A = 4.5 cm and a frequency f = 1.5 Hz. a. Write an equation for the spring constant k. b. Calculate the spring constant k, in Newtons per meter. c. Write an equation for the total mechanical energy, E, of the motion. Your expression should be in terms of the variables in the original problem statement. d. Calculate the total mechanical energy E, in joules.An object attached to a horizontal spring is oscillating back and forth along a frictionless surface. The maximum speed of the object is 1.37 m/s, and its maximum acceleration is 7.34 m/s². How much time elapses betwen an instant when the object's speed is at a maximum and the next instant when its acceleration is at a maximum? Number i Units
- Q2. A spring with negligible mass and constant k is attached to one end to a block of mass mand fastened at the other end to a wall as shown in Figure Q2. The block is pulled back adistance A from its equilibrium position and released so that it oscillates on the frictionless,horizontal surface. What is the velocity v of the mass as it passes the equilibrium position xo?An object moves in simple harmonic motion described by the equation d=4 cos t, where t is measured in seconds and d in inches. Find the following. a. the maximum displacement b. the frequency c. the time required for one cycle a. in. b. cycles per second C. Enter your answer in the answer bos Save for Later Type here to searchB. E. 0.2727 m 0.3140 m 0.3497 m 0.3087 m C. F. 1--1 NUTOJ A 2.9 kg mass is attached to a spring with constant 24_N/m and is moving horizontally on a frictionless surface. If the object has speed 1.4_m/s as it passes through the equilibrium position, then what is the maximum displacement of the object? I 24. A. 0.4867_m D. 0.4348 m B. 0.1773 m E. 0.257_m C. 0.4112_m F. 0.5435 m JABBX Two objects are connected by a light string passing over a light, frictionless pulley. The 5.00-kg object is released from rest at a point 4.00 m above the floor. Find the speed of the 5.00-kg object when it is 1 meter above the floor. 5.00 kg Pigshow.jpeg Pig show.jpeg MacBook Pro
- 10. A block hangs on a spring attached to the ceiling and is pulled down 6 inches below itsequilibrium position. After release, the block makes one complete up-and-down cycle in 2seconds and follows simple harmonic motion. a. What is the period of the motion? b. What is the frequency? c. What is the amplitude? d. Write a function to model the displacement ? (in inches) as a function of the time ? (in seconds) after release. Assume that a displacement above the equilibrium point is positive.e. Find the displacement of the block and direction of movement at ? = 1 sec.A 7.2 kg-block attached to a 32 N/m-spring constant spring moves on a frictionless horizontal surface, back and forth between -3.0 m and +3.0 m. What is the period of this motion, in seconds? Your answer needs to have 2 significant figures, including the negative sign in your answer if needed. Do not include the positive sign if the answer is positive. No unit is needed in your answer, it is already given in the question statement.1. An object suspended from a spring is oscillating up and down. It started this periodic motion when it was pulled down by 16cm from its rest position of 80cm above the floor and released. It returned to its rest position after 0.5 seconds and then continued upwards reaching its maximum height. a) Model this motion with a graph. b) Model its motion with the equation.
- A 500g block connected to a spring which the force constant is 5 N/m is free to oscillate on a frictionless, horizontal surface. The block is displaced 6cm from equilibrium and released from rest. Calculate the following: a.Period ofthe motion in seconds b.Maximum speed in m/s. c.Maximum acceleration in m/s2 d.Express the position, velocity, and acceleration as functions of time.A 0.5 kg block connected to a light spring for which the force constant is 10 N/m is free to oscillate on a frictionless, horizontal surface. The block is displaced 5 cm from equilibrium and released from rest.A. Find the period of its motionB. Determine the maximum speed of the blockC. Determine the maximum acceleration of the blockD. Express the position, velocity, and acceleration as functions of time in SI unitsChristina the maid is standing on the Vanderbilt’s dining room table dusting the chandelier. While Christina is reaching up, she slips and grabs hold of the chandelier to catch her balance. When she lets go, the chandelier begins to swing with a period of 1.6s. How long is the cable connecting the chandelier to the ceiling? (0.65m)