n engineer is designing a spring to be placed at the bottom of an elevator shaft. If the elevator cable breaks when the elevator is at a height H above the top of the spring, calculate the value that the spring constant k should have so that passengers undergo an acceleration of no more than 9.0g when brought to rest. Let N be the total mass of the elevator and passengers. Spring constant k that the spring should have so that passengers undergo an acceleration of no more that 9.0g

n engineer is designing a spring to be placed at the bottom of an elevator shaft. If the elevator cable breaks when the elevator is at a height H above the top of the spring, calculate the value that the spring constant k should have so that passengers undergo an acceleration of no more than 9.0g when brought to rest. Let N be the total mass of the elevator and passengers. Spring constant k that the spring should have so that passengers undergo an acceleration of no more that 9.0g

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

4th Edition

ISBN:9781305501607

Author:Andrew Pytel And Jaan Kiusalaas

Publisher:Andrew Pytel And Jaan Kiusalaas

Chapter1: Introduction To Statics

Section: Chapter Questions

Problem 1.19P: Plot the earths gravitational acceleration g(m/s2) against the height h (km) above the surface of...

See similar textbooks

Similar questions

When a volleyball coach releases a volleyball from a height of 2 m above the gym floor, it falls to the floor and bounces back to two-thirds the same height. When it is in contact with the floor, the lower side of the ball is temporarily flattened. Suppose the maximum depth of the dent is 1 cm. (Assume the positive direction is upward.)1. Determine the acceleration of the ball (in m/s2) while it is in contact with the floor and compressing. (Indicate the direction with the sign of your answer.) 2. Determine the velocity of the ball (in m/s) as it leaves the floor on the rebound. (Indicate the direction with the sign of your answer.) 3. What If? If instead of dropping the ball, the coach throws it down (from some unknown height) with such a speed that it bounces back up to a height three times its original height, determine the new acceleration of the ball (in m/s2) while in contact with the floor and expanding. (Indicate the direction with the sign of your answer.)
a car has a mass of 1234kg and center of mass G. Determine the acceleration of the rear is "driving" wheels are free to rotate. Neglect the mass of the wheels are free to rotate. Neglect the mass of the wheels. The coefficient of kinetic friction between the wheel and the road is 0.3. Find the acceleration, and the Na, and Nb.
1.A 10 kg of 0.5 m radius wheel rotates at 360 rpm. What centripetal force ( KN ) is developed in the wheel? 2.A particle moves in such a way that a = 2 t + 2 m/s/s , where t is in seconds. Determine the velocity ( m/s ) of the particle after 5 seconds. 4.If a particle moves in such a way that a = 2 t - 1 m/s/s , where t is in seconds. Find the velocity ( m/s ) of the particle after 5 s .
Calculate the work done on the block by the spring as the block falls an arbitrary distance x (Express your answer in terms of the variables alpha, m, x, and the acceleration due to gravity g, if needed) W_spring? Calculate the work done on the block by any other forces as the block falls an arbitrary distance (Express your answer in terms of the variables alpha, m, x, and the acceleration due to gravity g, if needed) W_other? Find the x-component of the net force that acts on the block when it is at x2. (Express your answer in terms of the variable m and the acceleration due to gravity g)
3) An unknown mass m is attached to two identical springs. Each spring has a stiffness k = 10 N/m and an unstretched length of 3 m. The unknown mass is released from rest when the springs are horizontal and unstretched. The mass reaches its maximum velocity after falling 4 m. a) What is the acceleration on the mass when it is at the maximum velocity? b) Determine the mass of the unknown mass. c) Use work-energy to find the maximum velocity.
4. A concrete weight of 125 kg is released from standstill and a log of mass 200 kg is moved along an inclined area of 30° to the horizontal.When the concrete weight is moved down 5 m, find that 1. What is the speed of the log? 2. What is the movement time of the concrete drum?
A disk rotating with constant acceleration of 0.005 revolutions / s2 And the movement starts from rest. What is the angle velocity after one minute? How many turns makes the same disc in point number one after one minute. If an external force does not affect the body, what does that mean? And if the body is in free fall, is its speed constant or variable, what is its acceleration equal, and how can the friction be reduced between the contact surfaces
This most likely is made to be a probelm about mx''+bx'+kx=f(t) m = mass b = friction k = spring constant 4. A mass weighing four pounds stretches a spring 24 in. Suppose the mass is atequilibrium and is set into motion with a velocity of 6 inches per second. The mass is in a mediumwhere friction is small, and we assume it is zero. Note that the acceleration due to gravity near theearth’s surface where the experiment takes place can be taken as 32 ft/s2.(a) Suppose that in addition to the conditions described above, a hammer strikes the mass everyπ/2 seconds starting at t = 0. A delta function with impulse of 1 pound-second models theforce of each blow to the mass. Find the function x(t) for the displacement from equilibrium infeet of the mass at time t in seconds. Express x(t) as a piecewise defined function without the use ofunit step or Heaviside functions and such that in each time window it is a different multiple of the samesinusoidal function.(b) Now assume the same spring-mass…
A hanging mass, M1 = 0.5 kg, is attached by a light string that runs over a frictionless pulley to a mass M2 = 1.5 kg that is initially at rest on a frictionless ramp. The ramp is at an angle of θ = 30.0° above the horizontal and the pulley is at the top of the ramp. Find the magnitude and direction of the acceleration of M1. a. 4.905 m/s2 , upward c. 4.905 m/s2 , upward b. 4.805 m/s2 , downward d. 4.805 m/s2 , downward
1) A student decides to move a box of books into her dormitory room by pulling on a rope attached to the box. She pulls with a force of 134 N at an angle of 28.0° above the horizontal. The box has a mass of 20.0 kg, and the coefficient of kinetic friction between the box and floor is 0.300. (a) Find the acceleration of the box. ______ m/s2(b) The student now starts moving the box up a 10.0° incline, keeping her 134 N force directed at 28.0° above the line of the incline. If the coefficient of friction is unchanged, what is the new acceleration of the box? ________ m/s2, up the incline 2) Neglecting frictional forces on the trailer, determine the following. (Indicate the direction with the sign of your answer. Take the forward direction to be positive.) (a) the net force on the car _______ N(b) the net force on the trailer _______ N(c) the force exerted by the trailer on the car _______ N(d) the resultant force exerted by the car on the road magnitude _______ N direction…
A 500kg car travels at 16 m/s when the driver takes his foot off the gas and coasts. If the coefficient of kinetic friction between the rolling tires and the road is 0.5, calculate the acceleration of the car and if the car coasted for a total of 2.0 s find it's final velocity.
A motorboat and its load weigh 2150 N. Assume that the propeller force is constant and equal to 110N, and the water resistance is numerically equal to 6.7V, where V is the speed at any instant time in m/sec. If the boat starts from rest, determine its distance at the end of 10 seconds.