A 1.8 kg object oscillates at the end of a vertically hanging light spring once every 0.40 s . |
Part A Write down the equation giving its position y (+ upward) as a function of time t. Assume the object started by being compressed 16 cm from the equilibrium position (where y = 0), and released. Note: the equilibrium position is defined here as that location of the mass at rest when it is freely hung from the spring, not the unstretched position of the spring with no mass. Write down the equation giving its position ( upward) as a function of time . Assume the object started by being compressed 16 from the equilibrium position (where = 0), and released. Note: the equilibrium position is defined here as that location of the mass at rest when it is freely hung from the spring, not the unstretched position of the spring with no mass.
SubmitRequest Answer Part B How long will it take to get to the equilibrium position for the first time? Express your answer to two significant figures and include the appropriate units.
SubmitRequest Answer Part C What will be its maximum speed? Express your answer to two significant figures and include the appropriate units.
SubmitRequest Answer Part D What will be the object's maximum acceleration? Express your answer to two significant figures and include the appropriate units.
SubmitRequest Answer Part E Where will the object's maximum acceleration first be attained? Where will the object's maximum acceleration first be attained?
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A 1.8 kg object oscillates at the end of a vertically hanging light spring once every 0.40 s . Part A Write down the equation giving its position y (+ upward) as a function of time t. Assume the...
17 kocionales at the end of a very hanging o 065 g once Part A Wine down the song rolned. Note the is position position is in the terr e com de n g on the spe p oste land ed portion of the game OK) (0.17 m)-((0.65 ) - 1) OwO) -(0.17m) .. .) OXO -(0.17) :) Os(t)-(0.17m). (...) Sub HAWI HW12a roblem 11.25 A 1.7 kg object oscillates at the end of a vertically hanging light spring once...
(1 point) A 10 kilogram object suspended from the end of a vertically hanging spring stretches the spring 9.8 centimeters. At time 0, the resulting mass- spring system is disturbed from its rest state by the force F(t) 70 cos(8t). The force F(t) is expressed in Newtons and is positive in the downward direction, and time is measured in seconds. a. Determine the spring constant k Newtons/meter b. Formulate the initial value problem for y(), where y(t) is the displacement...
(10 pts) A 10 kilogram object suspended from the end of a vertically hanging spring stretches the spring 9.8 centimeters. At time t = 0, the resulting mass-spring system is disturbed from its rest state by the force F(t) = 170 cos(10t). The force F(t) is expressed in Newtons and is positive in the downward direction, and time is measured in seconds. a. Determine the spring constant k. k = 1000 Newtons / meter b. Formulate the initial value problem...
ReviewI Constants TACTICS BOx 14.1 Identifying and analyzing simple harmonic motion Learning Goal: 1. If the net force acting on a particle is a linear restoring force, the motion will be simple harmonic motion around the equilibriunm To practice Tactics Box 14.1 Identifying and analyzing simple harmonic motion. position. 2. The position, velocity, and acceleration as a function of time are given in Synthesis 14.1 (Page 447) x(t)- Acos(2ft) Ug (t) = -(2rf)A sin( 2rft), A complete description of simple...
Vibrational Motion Introduction If an object is following Hooke’s Law, then Fnet = -kx = ma Since acceleration is the second derivative of position with respect to time, the relationship can be written as the differential equation: kx = m δ2xδt2/{"version":"1.1","math":"<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>k</mi><mi>x</mi><mo> </mo><mo>=</mo><mo> </mo><mi>m</mi><mo> </mo><mfrac bevelled="true"><mrow><msup><mi>δ</mi><mn>2</mn></msup><mi>x</mi></mrow><mrow><mi>δ</mi><msup><mi>t</mi><mn>2</mn></msup></mrow></mfrac></math>"} Methods for solving differential equations are beyond the scope of this course; in fact, a class in differential equations is usually a requirement for a degree in engineering or physics. However, the solution to this particular differential...