The cylinder is confined by the brake as shown in (Figure 1), where μ = 0.4. The spring has a stiffness of k= 3 MN/m and an unstretched length of 60 mm. End C of member ABC slides freely along the smooth vertical guide. Figure 400 mm 200 mm < 1 of 1 > 250 mm Determine the required compression in the spring in order to resist a torque of 800 N-m on the cylinder. Express your answer to three significant figures and include the appropriate units. 8= Value Submit μÅ Provide Feedback Request Answer Units ?

TOPIC: Oscillations A horizontal spring has a spring constant of 30.5 N/m. A mass of 300 g is attached to the spring and displaced 6 cm. The mass is then released. Find (a) the total energy of the system (b) the maximum velocity of the system ( c) the potential energy and kinetic energy of the system for x = 3 cm.   Please help me solve this problem with complete and detailed solution. Also, please include an illustration if possible. Thank you tutor!

Consider a metal bar of length L, cross-sectional area A, and Young's modulus Y. When a tension force F is applied to the bar, it causes an extension AL. Model the material as a cubic lattice, where the atoms lie at the corners of the cubes and are connected by springs with equilibrium length x. Calculate the force constant k of the atomic springs by deriving expressions for (1) the number of atoms in any cross-sectional area, (2) the number of atoms in a single chain of length L, (3) the microscopic extension Ax between atoms, (4) the tensile force f between atoms, (5) write f = kAr and show that k = Yr, (6) calculate the value of k for a typical metal such as aluminum, for which Y = 70 GN/m² and x = 0.4 nm.

Solve the sub-part (B) only, only typing

The rubber blocks shown are used in a double U shear mount to isolate the vibration of a machine from its supports. An applied load of P = 336 N causes the upper frame to be deflected downward by 5.5 mm. Determine the shear modulus Gof the rubber blocks. Assume a = 10 mm, b = 22 mm, and c = 27 mm. Double U anti-vibration shear mount b P Rubber block dimensions Shear deformation of blocks Answer: Shear Modulus G = i MPa.

6. The pendulum shown is a nonlinear dynamic system. Get a dynamic system linear around 0 = 0° for this dynamic system and the transfer function corresponding linearized. Consider m = 10kg; L = 0.5m. Also, note that in the axis of rotation there is a torsion spring of stiffness with k = 100N*m / rad. m,L k 2m

Let’s begin with a straightforward example of simple harmonic motion (SHM). A spring is mounted horizontally on an air track as in (Figure 1), with the left end held stationary. We attach a spring balance to the free end of the spring, pull toward the right, and measure the elongation. We determine that the stretching force is proportional to the displacement and that a force of 6.0 NN causes an elongation of 0.030 mm. We remove the spring balance and attach a 0.50 kgkg object to the end, pull it a distance of 0.040 mm, release it, and watch it oscillate in SHM as in (Figure 2). Find the following quantities:   The force constant of the spring The maximum and minimum velocities attained by the vibrating object The maximum and minimum accelerations The velocity and acceleration when the object has moved halfway to the center from its initial position The kinetic energy, potential energy, and total energy in the halfway position     If you had pulled the object out a distance of…

Chapter 15, Problem 051 GO In the figure, a stick of length L = 1.9 m oscillates as a physical pendulum. (a) What value of distance x between the stick's center of mass and its pivot point o gives the least period? (b) What is that least period? L/2 (a) Number Units (b) Number Units udy Click if you would like to Show Work for this question: Open Show Work

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For a simple harmonic oscillator with x = A sin ot write down an expression for the magnitude of acceleration. Please use "*" for products (e.g. B*A), "/" for ratios (e.g. B/A) and the usual "+" and "-" signs as appropriate (without the quotes). For power (e.g. A2) use A^2 or A*A. For trigonometric functions use the usual sin and cos, while for Greek letters such as w, use omega. Please use the "Display response" button to check you entered the answer you expect. a= Display response