Questions 2-5 reference the picture of mass attached to a spring shown. The left most picture gives the spring in its relaxed (equilibrium) position. The mass is lifted to point "B" and let go such that it oscillates up and down as shown in the right most position. Positions B and C are its highest and lowest points while bouncing. Point A is where the mass is traveling the fastest. Neglect air drag. T00 g BA A 100 g At what point will the mass have the most kinetic energy? O A ов ос O All points will have the same amount of kinetic energy.

Chapter 15, Problem 083 The scale of a spring balance that reads from 0 to 26.2 kg is 14.6 cm long. A package suspended from the balance is found to oscillate vertically with a frequency of 2.25 Hz. (a) What is the spring constant? (b) How much does the package weigh? (a) Number Units (b) Number Units Click if you would like to Show Work for this question: Open Show Work

An undamped 1.31 kg horizontal spring oscillator has a spring constant of 29.3 N/m. While oscillating, it is found to have a speed of 2.85 m/s as it passes through its equilibrium position. What is its amplitude A of oscillation? A = What is the oscillator's total mechanical energy Etot as it passes through a position that is 0.622 of the amplitude away from the equilibrium position? Erot m = J

A spider can tell when its web has captured, say, a fly because the fly's thrashing causes the web threads to oscillate. A spider can even determine the size of the fly by the frequency of the oscillations. Assume that a fly oscillates on the capture thread on which it is caught like a block on a spring. What is the ratio of oscillation frequency for a fly with mass m to a fly with mass 2.5m?

A wheeled cart of mass M is attached to the wall by a spring of spring constant k, as illustrated. The cart is pulled to the left from its equilibrium position, stretching the spring, and then it is released. a) At what point is the magnitude of the acceleration of the cart at its maximum?  When the cart is halfway back to its equilibrium position. When the cart arrives back at its equilibrium position. The instant after it is released. The acceleration is constant. b) The cart passes its equilibrium position and starts compressing the spring as it continues to move to the right. When it reaches its point of maximum compression of the spring and momentarily comes to rest, what is the direction of its acceleration?  To the right, to the left, or The instantaneous acceleration is zero.

The block of mass m = 1.60 kg slides along the horizontal rough plane as shown in the figure. The position coordinate x is measured from the undeformed position of the ideal spring, which has a stiffness of k = 30 N/m. At x = 0 the block is initially moving to the right with speed vi = 6 m/s. H.= 0.30 H. = 0.20 Which of the following most nearly gives the value of x when the block first comes to rest?

A block with mass M rests on a frictionless surface and is connected to a horizontal spring with a force constant k. The other end of the spring is attached to a wall (see figure). A second block with mass mm rests on top of the first block. The coefficient of static friction between the blocks is μs. Find the maximum amplitude of oscillation such that the top block will not slip on the bottom block.

A partridge of mass 5.01 kg is suspended from a pear tree by an ideal spring of negligible mass. When the partridge is pulled down 0.100 m below its equilibrium position and released, it vibrates with a period of 4.21 s. What is its speed as it passes through the equilibrium position? What is its speed as it passes through the equilibrium position? When it is moving upward, how much time is required for it to move from a point 0.050 m below its equilibrium position to a point 0.050 m above it?

A 200 g mass is attached to a spring with k = 60 N/m and allowed to oscillate with an amplitude of 0.12 m.  What is the maximum speed of the mass?

A simple pendulum consists of a bob of mass of 0.85 kg attached to a string of length 1.5 m.  The pendulum is raised to point Q, which is 0.08 m above its lowest position, and released so that it oscillates with a small amplitude θ between the points P and Q as shown below.   Draw free-body diagrams showing and labeling the forces acting on the bob in each situation. When it is at point P.  When it is at the lowest point.  Calculate the speed of the bob at the lowest point.  Calculate the total energy of the oscillating system.  Determine the height at which the potential and kinetic energies are equal.  Describe one modification that can be made to double the period of the oscillation. Explain.