An object with height h, mass M, and a uniform cross-sectional area A floats upright in a liquid with density p. a). Calculate the vertical distance from the surface of the liquid to the bottom of the floating object at equilibrium. b). Calculate the vertical distance from the surface of the liquid to the bottom of the flo
A 5.0 kg block hangs from a spring with spring constant 2000 N/m. The block is pulled down 5.0 cm from the equilibrium position and given an initial velocity of 1.0 m/s back toward equilibrium. What are (a) the frequency, (b) amplitude, (c) phase constant and (d) the total mechanical energy of the motion (e) write the equation
Set of 10 problems on mechanics : forces, moment, springs, stress, strain, Young's modulus, shear, modulus
A block with mass attached to a horizontal spring with force constant is moving with simple harmonic motion having amplitude. At the instant when the block passes through its equilibrium position, a lump of putty with mass m is dropped vertically onto the block from a very small height and sticks to it. For this value of m, w
Consider a bead of mass m sliding without friction on a wire that is bent in the shape of a parabola and is being spun with constant angular velocity w about its vertical axis, as shown in figure 7.17. Use cylindrical polar coordinates and let the equation of the parabola be z=kp^2. Write down the Lagrangian in terms of p as the
See the attached file for further question details. A) What is the equation that results from choosing the pivot point to be the point from which the mass hangs (where W acts)? Express your answer in terms of the unknown quantities T_L and T_R and the known lengths x and L. Recall that counterclockwise torque is positive.
Please help me with attached problem. Thanks in advance 1. Force Table is set up with 2 pulleys at 50 degrees and at 170 degrees as shown. A total of 200 grams is suspended from the pulley at 50 degrees and a total of 300 grams is suspended from the pulley at 170 degrees. A third string, tied to the big ring, is attache
A metal ball (mass m) with a hole through it is threaded on a frictionless horizontal rod. A massless stirring (length l) attached to the ball runs over and massless, frictionless pully and supports a block of mass M. (a) Write down the potential energy U(ᶿ). (The PE is given easily in terms of the heights shown as H and h. Es
The force exerted by a one-dimensional spring, fixed at one end, is F=-kx, where x is the displacement of the other end from its equilibrium position. Assuming that this force is conservative (which it is) show that the corresponding potential energy is U=1/2kx^2, if we choose U to be zero at the equilibrium position. (b) Suppos
Energy - An interesting one-dimensional system is the simple pendulum, consisting of a point mass m, fixed to the end of a massless rod (length l)
An interesting one-dimensional system is the simple pendulum, consisting of a point mass m, fixed to the end of a massless rod (length l), whose other end is pivoted from the ceiling to let it swing freely in a vertical plane, as shown in Figure 4.26. The pendulum's position can be specified by its angle σ from the equilibr
See attached file.
A person bounces up and down on a trampoline, while always staying in contact with it. The motion is simple harmonic motion, and it takes 1.98 s to complete one cycle. The height of each bounce above the equilibrium position is 54.0 cm. (a) Determine the amplitude of the motion. (b) Determine the angular frequency of the
Please see attached files regarding specifics. This problem has two parts (written & programming). The Brusselator is a simple model for oscillatory chemical systems such as the Belousov-Zhabotinski reaction. The time evolution of the concentration of two chemical species, x and y, is described by the ODE's: AND ,
See attached file for full problem description.
A solid cylinder of mass 10 kg and radius 1 rn rotates with an angular speed of 10 rad / s about a vertical axis through its center. A 0.5 kg piece of putty is dropped vertically on the cylinder at a point 0.5 m from the center of rotation and sticks there. What is the final angular speed of the cylinder?
A 500 N woman stands in the middle of a frozen lake of radius lOOm. The ice is frictionless so she can't walk. She decides to sacrifice one of her 0.5 kg shoes and throws it horizontally at 5 m/s. How long does it take her to reach the shore?
2. If two particles have equal kinetic energies, does that mean that they must have equal momenta? Explain.
1. Radio engineers are erecting a communications tower stabilized with cables running from the top of the tower to the ground.
1. Radio engineers are erecting a communications tower that is 16.0 m high. During the installation they stabilize the tower with 32.0 m long cables running from the top of the tower to the ground. The anchors consist of concrete blocks to which the cables can be secured. Each block weighs 1590 N. If the coefficient of static fr
A rectangular block of height L and horizontal cross-sectional area A floats at the interface between two immiscible liquids, as shown in the picture (attached). a) Derive a formula for the block density in terms of the fluid densities, P1 and P2, the heights h0, h1, and h2 and the cross-sectional area A. (it is not necess
A transverse wave is traveling on a string. The displacement y of a particle from its equilibrium position is given by y= (0.021 m) sin (25t - 2.0x). The phase angle 25t - 2.0x is in radians, t is in seconds and x is in meters. The linear density of the string is 1.6 x 10^-2 kg/m. What is the tension in the string?
Please help with the following problem. Provide detailed calculations. A scale is attached to the ceiling and a mass of 1.00 kg hangs from it. It reads 9.81 N. Another identical scale at the right is connected by perfect strings passing over perfect pulleys to two 1.00 kg masses hanging vertically at the end of the strings (
A bead slides on a frictionless hoop. The hoop is spinning at rate w on vertical axis. Find Lagrangian. See attached file for full problem description.
1) A massless spring has unstretched length lo and force constant k. One end is now attached to the ceiling and a mass m is hung from the other. The equilibrium length of the spring is now l1. (a) Write down the condition that determines l1. Suppose now that the spring is stretched a further distance x beyond its new equilibri
These problems are on curvilinear one dimensional systems and are giving me a lot of difficulty, if you could provide help along with visuals to help explain that would be very helpful. 1) Which of the following forces is conservative? (a) F = k (x, 2y, 3z) where k is constant. (b) F = k (y, x, 0). (c) F = k (-y, x, 0). For
Physics Lab experiment on Static Equilibrium: Laboratory data for this experiment has been provided. Do the data analysis and final conclusions. Draw the diagrams and show all equations used to understand. Also do questions at the end of the lab manual please.
Referring to the person is figure P12.51 on Page 384 in the text, determine the compressional force in the spine when the person bends forward to lift a 300 N object. The spine and upper body are represented as a uniform horizontal rod of weight 400 N. The erector spinalis muscle attaches at a point two thirds of the way up the
See attached files for full problem description. 1. In a physics lab, you attach a 0.200 kg air-track glider to the end of an ideal spring of negligible mass and start it oscillating. The elapsed time from when the glider first moves through the equilibrium point to the second time it moves through that point is 2.60 s. a) F
A particle of mass ,m, is at rest at the end of a spring(force constant=k)hanging from a fixed support. At t=0 a constant downward forcd F is applied to the mass and acts for a time T. Show that after the force is removed, the displacement of the mass from its equilibrium position (x=Xe, where x is down) is: x - Xe =F
A 2.00 kg block is held in equilibrium on an incline of angle = 70° by a horizontal force applied in the direction shown in Figure P4.50. If the coefficient of static friction between block and incline is µs = 0.300, determine the following (b) the normal force exerted by the incline on the block Your answer differs fro
A clown weighs 890 N. The coefficient of static friction between the clown's feet and the ground is 0.53. He pulls vertically downward on a rope that passes around three pulleys and is tied around his feet. What is the minimum pulling force that the clown must exert to yank his feet out from under himself?