The position of an air-track cart that is oscillating on a spring is given by the equation x = (12.4 cm) cos[(6.35 s-1)t]. At what value of t after t = 0.00 s is the cart first located at x = 8.47 cm?
8.47=12.4 cos6.35t
all are in radian so be careful put your calculator in rad mode
6.35t=0.818846
t = 0.12895 s
The position of an air-track cart that is oscillating on a spring is given by the...
13.6 The equation for the position as a function of time for an oscillating spring is given by x 15 cm cos 47at a) What is the frequency? b) If the mass on the spring is 400 g, what is the spring constant of the spring? c) What is the position at t-0.023 82 d) What is the position at rad 1 0.08 s
A cart of mass 260 g is placed on a frictionless horizontal air track. A spring having a spring constant of 8.0 N/m is attached between the cart and the left end of the track. The cart is displaced 3.5 cm from its equilibrium position. (a) Find the period at which it oscillates. s (b) Find its maximum speed. m/s (c) Find its speed when it is located 2.0 cm from its equilibrium position. m/s
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.
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?
the position of a mass that is oscillating on a spring is given by x = (0.20m) cos [(5.00s^-1)t]. what is the period of the motion? what is the amplitude of the motion? what is the spring constant? what is the total mechanical energy of the system?
1. An air-track cart attached to s spring completes one oscillation every 2.4 s. At t = 0 the cart is released from rest at a distance of 0.10 m from its equilibrium position. What is the position of the cart at (a) 2.7s and (b) 3.0s? (c) What is the first time the car is at position x = -5.0 cm? I WWWWWWWWWWWW r=-0.10 m 0 x = 0.10 m The pendulum in a grandfather clock is designed to...
An air-track cart attached to a spring completes one oscillation every 2.4s. At t=0 the cart is released from rest at a distance of .10m from its equilibrium position. What is the position of the cart at 2.7s?
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.
Cart 1. Make two pictures of the oscillating cart (1) one at its equilibrium position and (2) one at some other position and time while it is oscillating. On your pictures, show the direction of the velocity and acceleration of the cart and the forces on the cart. 2. Draw a force diagram of the oscillating cart when it is at a position away from its equilibrium position. Label the forces. 3. Write down an equation for the total force...
please answer all parts, thank you. 2. A cart on a frictionless track is attached on one side to a ideal spring. (The other side of the spring is fixed to the wall.) The cart has a mass of 1.20 kg. You compress the spring by 0.200 m and release the cart to oscillate at t = 0.00 s. The force needed to initially compress the spring is measured to be 10.0 N. (a) What is the angular frequency of...