A 9 kg weight is attached to a spring with constant k = 144 kg/m and subjected to an external force F(t) = 432 sin(2t) . The weight is initially displaced 3 meters above equilibrium and given an upward velocity of 1 m/s. Find its displacement for t > 0, with y(t) measured positive upwards. y(t) = %3D

A 9 kg weight is attached to a spring with constant k = 144 kg/m and subjected to an external force F(t) = 432 sin(2t) . The weight is initially displaced 3 meters above equilibrium and given an upward velocity of 1 m/s. Find its displacement for t > 0, with y(t) measured positive upwards. y(t) = %3D

Principles of Heat Transfer (Activate Learning with these NEW titles from Engineering!)

8th Edition

ISBN:9781305387102

Author:Kreith, Frank; Manglik, Raj M.

Publisher:Kreith, Frank; Manglik, Raj M.

Chapter4: Numerical Analysis Of Heat Conduction

Section: Chapter Questions

Problem 4.17P

See similar textbooks

Similar questions

6. There is air in the cylinder with the piston. The cross-sectional area of the piston is 5cm, the initial volume is 30cm, the pressure is 1 bar, and the temperature is 20℃. As shown in the picture next, the spring constant of the connected spring is ks=100 N/cm, and it is not deformed initially. By applying heat, the cylinder expands and the pressure in the cylinder becomes 4 bar. Answer the following questions. (hint: The relationship between P and V is straight) (1) Find the final volume (expressed in cm^3). (2) Find the expansion work during this process. (3) Find the amount of heat transfer during this process. Show this process on the P-v diagram
A 20 kg box is released from rest and let slide down a 25˚ ramp. If the box/ramp kinetic friction coefficient is uk=0.20m what should be the minimum spring constant of the spring attached to the box so that the box stop before reaching the bottom of the ramp 0.5 meters below the starting point? (Assume the spring is neither stretched nor compressed) a. 110 N/m b. 190 N/m c. 280 N/m d. 410 N/m
There is a spring-mass system, driven by an external piston, which applies a force to it. Newtons that satisfies the following relation F = 6*cos (3*π*t), as can be seen in the figure, it is known that the spring constant has a value of k = 25 Nm, and the block has a mass of 4 kg, furthermore, dissipative frictional effects cause the relationship between velocity and force to satisfy the ratio F = bv, where b is the damping constant, and it is known that the numerical ratio of force is 10 times the value of speed. Determine: a) The natural frequency of the system. b) The driving frequency of the external force. c) The maximum value exerted by the external force. d) The damping constant. e) The amplitude of the forced oscillatory motion in steady state. f) If dissipative (damping) effects are neglected, what is the value of the amplitude.
The tension in the walls of a horizontal 0.1 m diameter pipe under a static pressure of 10000 cm of water and submerged to a depth of 10 m in a fresh-water river is:
In a piping system at sea level, a liquid of relative density 1.5 flows through a pipe 8 cm in diameter.diameter at 1.2 m/s. Fifteen meters above the pipe diameter is reduced to 5 cm, Assume that the temperature of thefluid in the process remains at 30°C, producing a heat loss of 25 N-m/kg. Determine the pressure change in the thermodynamic process.
A simple pendulum is made of a 50 cm-string and a bob of mass m. At t=0, the pendulum is at its equilibrium position and is given an initial velocity v=0,2 m/s. The maximum angular speed, is?
You pull on a string with a horizontal force of magnitude Fyb = 51 N that is attached to a block of mass mb = 6.3 kg, then to the axle of a solid cylinder of mass mc = 4.3 kg and radius r = 0.5 m, then to a spring of spring constant k = 190 N/m. This is all done on an inclined plane where there is friction ( μs = 0.6 and μk = 0.33 ), and the incline angle is θ = 25 degrees. Everything starts at rest, and the spring is unstretched. The block slides down the plane, the cylinder rolls down the plane (without slipping), and the spring stretches. What is the speed of the block and cylinder after you pulled the block 66 cm down the plane.
A platform supported by 4 parallel springs: 2 long and 2 short springs, have a spring constant of 7.30 kN/m and 10.95 kN/m. A 55 kg box is dropped onto it from a height of 1.5m. Find the compression of each spring if the short springs are 0.1m shorter than the long springs.
12. Steam enters a turbine with an enthalpy of 1292Btu/lb and leaves with an enthalpy of 1098 Btu/lb. The transferred heat is 13 Btu/lb. what is the work in hp for a flow of 2 lb/sec? Derive with the formula below, show the cancellation, explain the step by step and DRAW a free body diagram/figure. refer with this: PE1 + KE1 + U1 + WF1 + Q1 + W1 = PE2 + KE2 + U2 + WF2 + Q2 + W2 + E losses.
An ideal spring has a spring constant k = 24.3 N/m. What is the amount of work that must be done to stretch the spring 0.800 m from its relaxed length? ________ J
An eight-cylinder, four-stroke engine of 9 cm bore and 8 cm stroke with a compressionratio of 7 is tested at 4500 rev/min on a dynamometer which has 54 cm arm. During a 10minutes test the dynamometer scale beam reading was 42 kg and the engine consumed4.4 kg of gasoline having a calorific value of 44000 kJ/kg. Air at 27C and 1 bar wassupplied to the carburettor at the rate of 6 kg/min. Take R for air = 287 kJ/(kg·K). Find:(1) the brake power delivered (bp),(2) the brake mean effective pressure (bmep),(3) the brake specific fuel consumption (bsfc),(4) the brake specific air consumption (bsac),(5) the brake thermal efficiency (b, th),(6) the volumetric efficiency (vol), and(7) the air-fuel ratio (A/F) on mass basis.Draw the simplified schematic diagram of the plant showing all the necessary data displayed on it. "Please only draw on schematic diagram of the plant"
An eight-cylinder, four-stroke engine of 9 cm bore and 8 cm stroke with a compressionratio of 7 is tested at 4500 rev/min on a dynamometer which has 54 cm arm. During a 10minutes test the dynamometer scale beam reading was 42 kg and the engine consumed4.4 kg of gasoline having a calorific value of 44000 kJ/kg. Air at 27C and 1 bar wassupplied to the carburettor at the rate of 6 kg/min. Take R for air = 287 kJ/(kg·K). Find: (4) the brake specific air consumption (bsac),(5) the brake thermal efficiency (b, th),(6) the volumetric efficiency (vol), and(7) the air-fuel ratio (A/F) on mass basis.Draw the simplified schematic diagram of the plant showing all the necessary data displayed on it.