Given
spring constant k = 1.2 N/m
streche in the spring due to rotation of mass m = 0.075 kg in circular motion , is 0.05 m
the time period is T = 2pi sqrt(m/k) = 2pi sqrt(0.075/1.2) = 1.571 s
angular frequency w = 2pi/T rad/s
W =
2pi/(T*2pi) rev/s
W =
60*2pi/(T*2pi) rpm
W = 60/ T rpm
W =
60/1.571 = 38.192 rpm = 38 rpm
A spring in a centripetal force free apparatus has K = 1.2 V/m. The device is...
A 3.4-kg sphere is suspended by a cord that passes over a 1.2-kg pulley of radius 3.4 cm. The cord is attached to a spring whose force constant is k = 86 N/m as in the figure below. Assume the pulley is a solid disk. An apparatus is shown with a wall extending upward from the left end of a table and a pulley mounted above the right edge of the table. A horizontal spring labeled k has its left...
A box of mass m is pressed against (but is not attached to) an ideal spring of force constant k and negligible mass, compressing the spring a distance x. After i is released the box slides up a frictionless incline as shown in the figure and eventually stops. If we repeat this experiment with a box of mass 2m A) the lighter box will go twice as high up the incline as the heavier box. B) both boxes will have the same...
Objective: In this lab the Centripetal force required to maintain an object in uniform circular motion will be measured. The relationship between a rotating object's mass, velocity, and distance from the center of rotation to the centripetal force will be tested against theoretical expectations. Equipment: Centripetal Force Apparatus with 1, 2, 4oz weights, Force sensor, Magnetic field sensor, Short lab stand with cross bar, 500 g&1kg counter weights, scissors jack, "C" clamp Background: When an object is in uniform circular motion...
A 2.3 kg mass is connected to a spring with spring constant k = 170 N/m and unstretched length 19 cm . The pair are mounted on a frictionless air table, with the free end of the spring attached to a frictionless pivot. The mass is set into circular motion at 1.3 m/s . Find the radius of its path.
System A consists of a mass m attached to a spring with a force constant k; system B has a mass 2m attached to a spring with a force constant k; system C has a mass 3m attached to a spring with a force constant 6k; and system D has a mass m attached to a spring with a force constant 4k. Rank these systems in order of decreasing period of oscillation. Rank from largest to smallest. To rank items...
a) A block with mass m is attached to a horizontal spring with spring constant k. The block is at rest on a frictionless surface. A bullet with mass Mbul is fired horizontally with speed vbul into the block, in the face opposite the spring, and sticks to the block. mün m Wbul Are you able to determine the bullet's speed by measuring the oscillation frequency of the system of block and bullet? If so, how If not, why not?
A 0.4 kg mass is attached to a spring ( k = 0.45 k=0.45 N/m) whose other end is attached to a wall. The mass oscillates horizontally, reaching a maximum speed of v max = 1.6 vmax=1.6 m/s. Express all of your answers rounded to two decimal places. What is the amplitude of the mass' motion? x max = xmax= m What is the period of the system? P = P= s What is the magnitude of the acceleration of...
You attach one end of a spring with a force constant k = 693 N/m to a wall and the other end to a mass m = 1.62 kg and set the mass-spring system into oscillation on a horizontal frictionless surface as shown in the figure. To put the system into oscillation, you pull the block to a position xi = 6.76 cm from equilibrium and release it. A horizontal spring labeled k is attached on its left end to...
A horizontal spring attached to a wall has a force constant of k = 800 N/m. A block of mass m = 1.80 kg is attached to the spring and rests on a frictionless, horizontal surface as in the figure below. (a) The block is pulled to a position xi=6.20 cm from equilibrium and released. Find the potential energy stored in the spring when the block is 6.20 cm from equilibrium. (b) Find the speed of the block as it passes through...
A 0.40-kg mass is attached to a spring with
a force constant of k = 207 N/m, and the mass–spring
system is set into oscillation with an amplitude of A =
2.0 cm. Determine the following.
(a) mechanical energy of the system
_____ J
(b) maximum speed of the oscillating mass
_____ m/s
(c) magnitude of the maximum acceleration of the oscillating
mass
_____ m/s2
A 0.40-kg mass is attached to a spring with a force constant of k =...