The distance or displacement y of a weight attached to an oscillating spring from its natural...
A mass is attached to a spring & is oscillating up & down. The position of the oscillating mass is given by... y=(3.2 cm)*Cos[2*3.14*t/(0.58 sec)]; where t is time. Determine (a) the period of this motion; (b) the first time the mass is at position y=0. Please show all work.
The position of a 0.5 kg object that is oscillating on an ideal spring is given by the equation x = (10cm)cos(10 t), where t is in seconds. At what position x is the kinetic energy one third of the potential energy at that position?
A. The position of a 45 g oscillating mass is given by x(t)=(2.0cm)cos(10t), where t is in seconds. Determine the velocity at t=0.40s. B. Assume that the oscillating mass described in Part A is attached to a spring. What would the spring constant k of this spring be? C. What is the total energy E of the mass described in the previous parts?
The position of a mass (350 g) attached to an oscillating spring is given by: x = 22.5 cm cos((7.84 rad/s) t) Find total energy of the mass. Determine the potential energy when the mass is located 5.3 cm from equilibrium. What is the velocity of the mass at the location in part B? Find the location of the mass when the velocity is one-third of its maximum value.
Consider the displacement of the spring shown in the following figure: 00000 +A The displacement x is given by: x = A cos (wt) Where . x is the displacement at a given time t • A is the maximum displacement w is the angular frequency, which is depended in the mass attached to the spring as well as to the spring constant and t stands for the time . Compute the displacement of x for the time intervals starting...
2. The displacement function for a mass of 2.0 kg on a horizontal spring with no friction is given as X(t) 3.0 cm cos(2.0s1t + T/3) where t is in seconds. (e) The velocity as a function of time The total energy (f) (g) The spring constant (h) The speed of the mass when the kinetic and potential energies are the same The maximum speed (i) 0) The acceleration as a function of time
A 2kg mass is suspended vertically from a spring attached to a fixed support. The spring satisfies Hooke's law with a spring constant of k 18 N m1. No damping is present. Gravity acts on the mass with a gravitational constant of g 10 m s2. An external force of R 24 sin (wt) Newton is applied to the mass, directed downwards, where t is the time in seconds since the mass was set in motion and w is a...
Part A: 10 points each (Questions 1-4 1. A block mass of 3 kg attached with a spring kg attached with a spring of spring constant 2500 N/m as shown in the Figure below. The amplitude or maximum displacement X max is 7m. Calculate O a) Maximum Potential energy stored in the spring b) Maximum kinetic energy of the block c) the total energy-spring block system 2. A small mass moves in simple harmonic motion according to the equation x...
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...
QUESTION 7 A weight is attached to a spring suspended vertically from a ceiling. When a driving force is applied to the system, the weight moves vertically from its equilibrium position, and this motion is modeled by where is the distance from equilibrium (in feet) and is the time in seconds). y = *sin 2 + cos26 Use the identity asin Be+bcos Bo= Wa? + b² sin(B9+C) where C = arctan(b/a), a > 0, to write the model in the...