A 10-kg mass is attached to a spring, stretching it 0.7 m from its natural length. The mass is started in motion from the equilibrium position with an initial velocity of 1 m/sec in the upward direction. Find the distance at t=0.5 sec, if the force due to air resistance is -90v N. The initial conditions are x(0) = 0 (the mass starts at the equilibrium position) and i(0) = -1 (the initial velocity is in the negative direction). Use 4 decimal palces.

A 10-kg mass is attached to a spring, stretching it 0.7 m from its natural length. The mass is started in motion from the equilibrium position with an initial velocity of 1 m/sec in the upward direction. Find the distance at t=0.5 sec, if the force due to air resistance is -90v N. The initial conditions are x(0) = 0 (the mass starts at the equilibrium position) and i(0) = -1 (the initial velocity is in the negative direction). Use 4 decimal palces.

International Edition---engineering Mechanics: Statics, 4th Edition

4th Edition

ISBN:9781305501607

Author:Andrew Pytel And Jaan Kiusalaas

Publisher:Andrew Pytel And Jaan Kiusalaas

Chapter7: Dry Friction

Section: Chapter Questions

Problem 7.59P: How many turns of rope around the capstan are needed for the 40-lb force to resist the 8000-lb pull...

See similar textbooks

Similar questions

How many turns of rope around the capstan are needed for the 40-lb force to resist the 8000-lb pull of a docked ship? The static coefficient of friction between the capstan and the rope is 0.25.
A spring is such that a 5 -lb weight stretches it 6 in. The 5 -lb weight is attached, the spring reaches equilibrium, then the weight is pulled down 3 in. below the equilibrium point and started off with an upward velocity of 6ft/sec. Find an equation giving the position of the weight at all subsequent times
A 10-lb weight stretches a spring 2 ft. If the weight is pulled down6 in. below its equilibrium position and released, find the highestpoint reached by the weight. Assume the spring–mass system residesin a medium offering a resistance of 10/√g lb times the instantaneousvelocity in feet per second
A 12-lb weight stretches a spring 2 ft. The weight is released from a point that is 1 ft below the equilibrium position with an upward velocity of 4 ft s-1.
The compressor shown has a mass of 250 kg and operates at 2000 rpm. At this operating condition, the force transmitted to the ground is excessively high and is found to be mrw2f. where mr is the unbalance and wf is the forcing frequency. To fix this problem, it is proposed to isolate the compressor by mounting it on a square concrete block separated from the rest of the floor as shown. The density of concrete is 2400 kg/m3 and the spring constant for the soil is found to be 80 × 106 N/m. The geometry of the compressor leads to choosing a block that is 1.5 m by 1.5 m. Determine the depth h that will reduce the force transmitted to the ground by 75 percent.
). The block-spring combination is stretched in the positive x direction a distance of 12.6 cm from equilibrium and released. Mass of the block is 2.43kg and force constant k is 221 N/m. (a). what is the total energy stored in the system? (b). If the block is released at t=0, what are its position and velocity at t = 0.215s?
Engineering dynamics 1. dtermine the speed 2. determine the tension T is the mass is 10lbs
A spring-based toy gun is used to shoot a ball of mass M straight up.The ball is not attached to the spring. The ball is pushed downward into the spring so that the spring is compressed toa distance S below its relaxation point. After the release, the ball reaches a maximum height 3S,measured from its relaxation position, see Fig. 1(b). (a) Find the constant of the spring. (b) Findthe equilibrium point of the ball when it is on the compressed spring with no forces other than gravity and thespring acting on it. Clearly indicate the point you are using as the origin of your coordinate system and which direction is positive.system and which direction is positive. (c) Now the ball is glued to the spring so that it oscillates up and downinstead of flying off the spring. The spring is again compressed to the same distance S below itsof relaxation. Write an equation for the position of the ball as a function of time after it is released. Indicateclearly which point you are using as the origin…
A 3.00 kg low friction cart sits on a horizontal surface. At each end, there is a spring of force constant 100 N/m attached to a firm support. The cart starts at rest at the equilibrium position. A quick blow of a hammer delivers an impulse of 0.50 N-s to the cart. (a)How long will it take for the cart to return to the equilibrium position? (b) How much energy is delivered to the cart by the impulse of the hammer? (c) How far will the cart travel before returning to the equilibrium position?
The end of a spring is pulled to the right by 4 cm; the restoring force is8 N to the left. Given the relationships 8.15c, if the spring is returned to equilibrium and then pushed to the left by 2 cm, the restoring force isA. 4 N to the left. B. 4 N to the right. C. 8 N to the left.D. 8 N to the right. E. 16 N to the left. F. 16 N to the right.
A 0.150 kg frame, when suspended from a coil spring, stretches the spring 0.0400 m. A 0.200 kg lump of putty is dropped from rest onto the frame from a height of 30.0 cm (Fig.). Find the maximum distance the frame moves downward from its initial equilibrium position.
Suppose an object with mass 1 slug is clamped to a spring whose constant of restitution is 4 lb / ft in an undamped medium. A force given by f(t) = t is applied between times t = 0 and t = 2. Determine the equation of motion if the weight starts from rest at equilibrium.