962) A spring that can be assumed to be ideal hangs from a stand,
as shown above.
a. You wish to determine experimentally the spring constant k of
the spring. i. What additional, commonly available equipment would
you need?
ii. What measurements would you make?
iii. How would k be determined from these measurements?
b. Assume that the spring constant is determined to be 500 N/m.
A 2.0-kg mass is attached to the lower end of the spring and
released from rest. Determine the
frequency of oscillation of the mass.
c. Suppose that the spring is now used in a spring scale that is limited to a maximum value of 25 N, but you would like to weigh an object of mass M that weighs more than 25 N. You must use commonly available equipment and the spring scale to determine the weight of the object without breaking the scale.
962) A spring that can be assumed to be ideal hangs from a stand, as shown...
24. A spring that can be assumed to be ideal hangs from a stand, as shown above. (a) You wish to determine experimentally the spring constant k of the spring ii. What measurements would you make? ili. How would & be determined from these measurements? Assume that the spring constant is determined to be 500 N/m. A 2.0-kg mass is attached to the lower end of the spring and released from rest. mass. Suppose that the spring is now used...
A proud deep-sea fisherman hangs a fish of mass 61.0 kg from an ideal spring having negligible mass. The fish stretches the spring a distance of 0.119 m What is the force constant of the spring? What is the period of oscillation of the fish if it is pulled down and released?
A spring with spring constant k and equilibrium length rho degree hangs from the ceiling. A block of mass m is attached to the spring and released from rest at a distance of rho degree from the ceiling (i.e. the equilibrium length of the spring), as shown in figure on right. The block then undergoes simple harmonic motion. Sketch the vertical position of the block as a function of time, including three full oscillation periods. hat is the maximum sped...
2.) A spring hangs vertically from the ceiling. Its natural length is 1.0 m. When a mass of 2.0 kg is attached to the spring, the spring's equilibrium length is 1.5 m. (a.) What is the spring constant k? The mass displaced vertically from equilibrium by 1.0 cm. (b.) What is the period of oscillation? (c.) What is the maximum speed of the mass? (d.) Suppose I wanted to maximize the oscillation amplitude by tapping on the mass. At what...
A spring with spring constant 11 N/m hangs from the ceiling. A ball is attached to the spring and allowed to come to rest. It is then pulled down 9.5 cm and released. The ball makes 18 oscillations in 25 seconds. What is the mass of the ball? What is its maximum speed?
A 2 kg mass hangs motionless from a partially stretched spring having a spring constant of 198 N/m. What is the magnitude of the force (in N) that would be required to pull the mass down by an additional 4 cm? Never include units with your answer.
Problem 3-Under the ambient condiion, one can use the oscillation frequency of a spring-mass system to determine the mass suspended at the end of a spring using equation where f if the frequency of oscillation in the unit of s1, k is the spring constant in the unit of N/m, and m is the mass of the oscillating object in the unit of kg. The spring constant k is obtained by suspending an object of known mass mo under the...
LLLLLLLLLLLLLLLLLLLLL A body of mass m sits on a balance of mass M, which hangs from an ideal spring with spring constant k. Starting in the equilibrium position, the ensemble of two bodies gets an initial velocity Vo. a) Find the period and the amplitude of the oscillations if the body and the balance move together b) Find the maximum amplitude such that the body of mass m never leaves the balance. Make sure you explain (briefly, in words!) your...
A spring stretches 0.150 m when a 0.300 kg. mass is hung vertically from it. From this information you can determine the spring constant, k. Next, the spring is set up horizontally with the 0.300 kg. mass resting on a frictionless table. The block is pushed so that the spring is compressed 0.100 m from the equilibrium point, and released from rest. Determine: The spring constant k (in N/m)? The amplitude of the horizontal oscillation (in m)? The angular frequency,...
A mass m = 1.1 kg hangs at the end of a vertical spring whose top end is fixed to the ceiling. The spring has spring constant k = 75 N/m and negligible mass. At time t = 0 the mass is released from rest at a distance d = 0.35 m below its equilibrium height and undergoes simple harmonic motion with its position given as a function of time by y(t) = A cos(wt - φ). The positive y-axis...