The homogeneous spring has length L and stiffness k divide into two parts of lengths L1...

The homogeneous spring has length L and stiffness k divide into two parts of lengths L1 and L2 and denote n = L1 / L2. (a) Express the stiffness k1 and k2 of both new springs with k and n. (b) If a block was connected to the original spring, as in Fig. 16.5, the resulting harmonic oscillator oscillated with frequency f. If we now attach the L1 spring to the box, or. spring length L2, the new oscillator frequency f1, or. frequency f2. Express the frequencies f1 and f2 using the original frequency f.

2) The deflection of the harmonic particle is at a certain moment
equal to one half of the amplitude. What part of the total mechanical
energy at this point takes the form of kinetic energy (a)
and (b) potential? (c) What deflection is one half
total mechanical energy form kinetic energy? Have your say
amplitude.

Expert Solution

genius_generous answered 2 years ago

An object with mass 3.5 kg is attached to a spring with spring stiffness constant k...

An object with mass 3.5 kg is attached to a spring with spring stiffness constant k = 270 N/m and is executing simple harmonic motion. When the object is 0.020 m from its equilibrium position, it is moving with a speed of 0.55 m/s.(a) Calculate the amplitude of the motion._____ m(b) Calculate the maximum velocity attained by the object. [Hint: Use conservation of energy.]______ m/s

A 3-kg mass is attached to the end of a coil spring with stiffness k=48N/m ....

A 3-kg mass is attached to the end of a coil spring with stiffness k=48N/m . The mass is then pulled down 0.5m (from its equilibrium position) and released at t = 0 with an initial velocity of 2 m/sec directed upward. Neglect the resistance of the medium. a) Determine the resulting displacement and velocity as functions of time. b) Find amplitude, period and frequency of the motion. c) At what time does the weight first pass through the equilibrium...

2. A spring whose coefficient is k is compressed by length d and a block of...

2. A spring whose coefficient is k is compressed by length d and a block of mass m is placed right next to the end of the spring. When the spring is released, the block acquires a velocity and keeps on moving along a horizontal smooth surface until it reaches an inclined plane whose angle is θ and whose coefficient of friction with the block is μ. It travels up the inclined plane for a while before reaching maximum height....

Case: A school decided to divide a parking into two parts and give it to two...

Case: A school decided to divide a parking into two parts and give it to two companies to manage. One company manages the parking infront of the school and the other company manages the parking behind the school. So now both companies has to face competition in the market. Assume that you are in the company that is given the parking infront of the school to manage. question: explain to the company you are in and what kind of compeition...

The production function has two input, labor (L) and capital (K). The price for L and...

The production function has two input, labor (L) and capital (K). The price for L and K are respectively W and V. q = L + K a linear production function q = min{aK, bL} which is a Leontief production function 1.Calculate the marginal rate of substitution. 2.Calculate the elasticity of the marginal rate of substitution. 3.Drive the long run cost function that is a function of input prices and quantity produced.

The figure below shows two converging lenses placed L1 = 23 cm apart. Their focal lengths...

The figure below shows two converging lenses placed L1 = 23 cm apart. Their focal lengths are f1 = 10 cm and f2 = 25 cm. (a) Where is the final image located for an object that is L2 = 32 cm in front of the first lens? (Measure this distance (in cm) relative to the lens of focal length f2.)distance cmdirection ---Select--- to the left of the lens to the right of the lens (b) What is the total...

Given a solenoid that has N1 turns, a length L1 and a radius r1 where a...

Given a solenoid that has N1 turns, a length L1 and a radius r1 where a current running through is increasing from I1 to I2 in t seconds. A second solenoid coaxial with the first has N2 turns, a length L2, a radius r2 and a resistance R. Note that both solenoids are not connected, meaning the second is not connected to a source. Give the expression of: a) The initial magnetic field the first solenoid creates inside its coil...

Assume an atom has K, L, and M electrons and the energies for K, L, and...

Assume an atom has K, L, and M electrons and the energies for K, L, and M shells are -5000, -500, and -50 eV. Please give all possible energies of Auger electrons and characteristic X-rays.

4. Consider bit strings with length l and weight k (so strings of l 0’s and...

4. Consider bit strings with length l and weight k (so strings of l 0’s and 1’s, including k 1’s). We know how to count the number of these for a ﬁxed l and k. Now, we will count the number of strings for which the sum of the length and the weight is ﬁxed. For example, let’s count all the bit strings for which l + k = 11. (a) Find examples of these strings of diﬀerent lengths. What...

1. Answer the following using the production function F(L, K) = L1/2K1/2, input prices fixed at...

1. Answer the following using the production function F(L, K) = L1/2K1/2, input prices fixed at w =4 and v = 9. There are two different types of firms. Big firms have SR capital fixed at 144, and small firms have SR fixed capital of 64. a) Show that for the big firms with K = 144, SCb(q) = q2 /36 + 1296 and for the small firms with fixed capital of 64, SCs(q) = q2/16 + 576. Use this...

Question