The left-hand end of a long horizontal stretched cord oscillates transversely in SHM with frequency 270 Hz and amplitude 2.6 cm . The cord is under a tension of 100 N and has a linear density 0.07 kg/m . At t=0, the end of the cord has an upward displacement of 1.8 cm and is falling. Consider the point x = 0.500 m on the cord. Part A Determine the maximum velocity of this point. Part B Determine its maximum acceleration. Part C What is its velocity at t = 2.1 s ? Part D What is its acceleration at t = 2.1 s ?
The left-hand end of a long horizontal stretched cord oscillates transversely in SHM with frequen...
1) A 7.5kg mass attached to a spring with a spring constant of 365 N/m oscillates on a horizontal, frictionless track. Att 0, the mass is released from rest at x-2.32 cm. (That is, the spring is stretched by 2.32 cm.) (a) Determine the frequency of the oscillations. (b) Determine the maximum speed of the mass. Where does the maximum speed occur? (c) Determine the maximum acceleration of the mass. Where does the maximum acceleration occur? 2) A body is...
A very long string (linear density 0.7 kg/m ) is stretched with a tension of 85 N . One end of the string oscillates up and down with an amplitude of 7 cm and a period of 0.35 s . What is the wavelength of the waves created in the string?
In the figure, block 2 of mass 2.60 kg oscillates on the end of a spring in SHM with a period of 24.00 ms. The position of the block is given by x = (1.60 cm) cos(wt + pi/2). Block 1 of mass 5.20 kg slides toward block 2 with a velocity of magnitude 7.20 m/s, directed along the spring's length. The two blocks undergo a completely inelastic collision at time t = 6.00 ms. (The duration of the collision...
In an engine, a piston oscillates with simple harmonic motion so that its position varies according to the expression, x = 7.00 cos (4t + ) where x is in centimeters and t is in seconds. (a) At t = 0, find the position of the piston. 6.30 cm (b) At t = 0, find velocity of the piston. -9.11 How do you find the velocity v(t) of an object if you know the position as a function of time,...
In the figure, block 2 of mass 2.60 kg oscillates on the end of a spring in SHM with a period of 26.00 ms. The position of the block is given by x = (1.50 cm) cos(ωt + π/2). Block 1 of mass 5.20 kg slides toward block 2 with a velocity of magnitude 3.00 m/s, directed along the spring's length. The two blocks undergo a completely inelastic collision at time t= 6.50 ms. (The duration of the collision is...
A 190 g block attached to a spring with spring constant 2.0 N/m oscillates horizontally on a frictionless table. Its velocity is 23 cm/s when x0 = -5.9 cm . What is the amplitude of oscillation?, , What is the block's maximum acceleration?, What is the block's position when the acceleration is maximum?, What is the speed of the block when x1 = 2.6 cm ?
A spring of negligible mass stretches 3.00 cm from its relaxed length when a force of 7.30 N is applied. A 0.520-kg particle rests on a frictionless horizontal surface and is attached to the free end of the spring. The particle is displaced from the origin to x = 5.00 cm and released from rest at t = 0. (Assume that the direction of the initial displacement is positive. Use the exact values you enter to make later calculations.) (d)...
Question 12 In the figure, block 2 of mass 2.20 kg oscillates on the end of a spring in SHM with a period of 14.00 ms. The position of the block is given by x = (1.40 cm) cos(wt + x/2). Block 1 of mass 4.40 kg slides toward block 2 with a velocity of magnitude 8.40 m/s, directed along the spring's length. The two blocks undergo a completely inelastic collision at time t = 3.50 ms. (The duration of...
A 500-g object attached to the end of a spring oscillates with an amplitude of 8.0 cm and a frequency of 1.20 Hz. (a) Find its maximum speed. (This question has two parts, this is part (a) of the question) 0.89 m/s O 0.79 m/s 0.60 m/s O 0.75 m/s A 500-g object attached to the end of a spring oscillates with an amplitude of 8.0 cm and a frequency of 1.20 Hz. (b) What is its speed when it...
Wave on a String A string with linear mass density 2.0 g/m is stretched along the positive x-axis under a tension of 20 N. The other end of the string, at x = 0m is tied to a hook that oscillates up and down at a frequency of 100Hz with a maximum displacement from equilibrium of 1.0 mm. At t= 0s, the hook is at it's lowest point. (a) What are the wave speed and the wavelength on the string?...