PEARSON ETEXT ENGINEERING MECH & STATS
15th Edition
ISBN: 9780137514724
Author: HIBBELER
Publisher: PEARSON
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Chapter 22, Problem 48P
To determine
The maximum speed of the block after frictional forces causes the free vibrations to dampen out.
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The 25-lb block is attached to two springs having a stiffness of k = 14 lb/ft . A periodic force F=(8cos3t)lb, where t is in seconds, is applied to the block.
Determine the maximum speed of the block after frictional forces cause the free vibrations to dampen out.
Express your answer to three significant figures and include the appropriate units.
A 9-kg block is suspended from a spring having a stiffness of k = 200 N/m. If the block is given an upward velocity of 0.4 m/s when it is 95 mm above its equilibrium position, determine the maximum upward displacement of the block measured from the equilibrium position. Assume that positive displacement is downward.
An 8-kg block is suspended from a spring having a stiffness k = 80 N/m. If the block is given an upward velocity of 0.4 m/s when it is 90 mm above its equilibrium position, determine the equation which describes the motion and the maximum upward displacement of the block measured from the equilibrium position. Assume that positive displacement is measured downward.
Chapter 22 Solutions
PEARSON ETEXT ENGINEERING MECH & STATS
Ch. 22 - A spring is stretched 175 mm by an 8-kg block. If...Ch. 22 - A spring has a stiffness of 800 N/m. If a 2-kg...Ch. 22 - Prob. 3PCh. 22 - Prob. 4PCh. 22 - Prob. 5PCh. 22 - Prob. 6PCh. 22 - Prob. 7PCh. 22 - Prob. 8PCh. 22 - A 3-kg block is suspended from a spring having a...Ch. 22 - Prob. 10P
Ch. 22 - Prob. 13PCh. 22 - Prob. 14PCh. 22 - Prob. 16PCh. 22 - Prob. 17PCh. 22 - A uniform board is supported on two wheels which...Ch. 22 - Prob. 24PCh. 22 - Prob. 30PCh. 22 - Prob. 31PCh. 22 - Prob. 32PCh. 22 - Determine the differential equation of motion of...Ch. 22 - Prob. 36PCh. 22 - If the block-and-spring model is subjected to the...Ch. 22 - A block which has a mass m is suspended from a...Ch. 22 - A 4-lb weight is attached to a spring having a...Ch. 22 - A 4-kg block is suspended from a spring that has a...Ch. 22 - A 5-kg block is suspended from a spring having a...Ch. 22 - Prob. 48PCh. 22 - The light elastic rod supports a 4-kg sphere. When...Ch. 22 - Find the differential equation for small...Ch. 22 - Prob. 52PCh. 22 - The fan has a mass of 25 kg and is fixed to the...Ch. 22 - In Prob. 22-53 , determine the amplitude of...Ch. 22 - Prob. 55PCh. 22 - Prob. 56PCh. 22 - Prob. 57PCh. 22 - Prob. 58PCh. 22 - Prob. 59PCh. 22 - Prob. 60PCh. 22 - Prob. 61PCh. 22 - Prob. 62PCh. 22 - Prob. 65PCh. 22 - Determine the magnification factor of the block,...Ch. 22 - Prob. 67PCh. 22 - The 200-lb electric motor is fastened to the...Ch. 22 - Prob. 70PCh. 22 - Prob. 72PCh. 22 - Prob. 73PCh. 22 - Prob. 74PCh. 22 - Prob. 75PCh. 22 - Prob. 76PCh. 22 - Prob. 79P
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- A 9-kg block is suspended from a spring having a stiffness of k = 200 N/m. If the block is given an upward velocity of 0.4 m/s when it is 95 mm above its equilibrium position, determine the equation which describes the motion. Assume that positive displacement is downward.arrow_forwardA spring is stretched 175 mm by an 8-kg block. If the block is displaced 100 mm downward from its equilibrium position and given a downward velocity of 1.50 ms, determine the differential equation which describes the motion. Assume that positive displacement is downward. Also determine the position of the block when t = 0.22 s. (Show free-body diagram of the system.)arrow_forwardThe system is released from rest. The body A has 55 slug and the body B has 99 slug. The spring constant is k =64 lbf/ft and the tension in the spring when the system is released is 90 lbf. Concentrate the analysis when mass B has dropped 11 inches. Enter the initial spring deformation in ft. (not enter the units).arrow_forward
- consider the mass and pulley system in the attached file. mass m1 = 29 kg and mass m2 = 12kg. the angle of the inclined plane is given and the coefficient of kinetic friction between mass m2 and the inclined plane is uk = 0.12. assume the pulleys are massless and frictionless if the system is released from rest, what is the speed of mass m2 after 2.5 s? v(2.5 s) = ?arrow_forwardThe block has a mass of 140 kg and rests on a surface for which the coefficients of static and kinetic friction are Hs = 0.5 and uj. = 0.4, respectively. (Figure 1) Part A If a force F = (60t2 ) N, where t is in seconds, is applied to the cable, determine the power developed by the force when t = 5 s. Hint: First determine the time needed for the force to cause motion. Express your answer to three significant figures and include the appropriate units. µA ? P = Value Units Figure 1 of 1 Submit Request Answer Provide Feedback Next >arrow_forwardA 2-kg block is suspended from a spring having a stiffness of 800 N/m. If the block is given an upward velocity of 4 m/s when it is displaced downward a distance of 150 mm from its equilibrium position, determine the equation which describes the motion. Assume that positive displacement is downward.arrow_forward
- A spring is stretched 175 mm by an 8-kg block. If the block is displaced 100 mm downward from its equilibrium position and given a downward velocity of 1.50 m/s,determine the differential equation which describes the motion. Assume that positive displacement is downward.Also, determine the position of the block when t = 0.22 s.arrow_forwardA 25 - lb block-on-a-slope (0 = 30°) mechanism has been arranged in the Dynamics lab so that at the state shown, the spring (k = 15 lb/ft) is unstretched, the block has moved down so = 2 ft, and the block is moving downward at vo = 16 ft/s. The coefficient of friction is μ = 0.20. A constant force of F = 10 lb is applied in line with the slope. Determine the additional distance the block moves down the slope when it stops. So 500000- k vo Ө Farrow_forwardA spring is stretched 200 mm by a 15-kg block. If the block is displaced 200 mm downward from its equilibrium position and given a downward velocity of 0.75 m/s, determine the equation which describes the motion. Assume that positive displacement is downward.arrow_forward
- A body weighing 445 N is drawn along a rough surface. The force applied in the direction of motion is 135 N while the frictional force is 90 N. if there is an air resistance whose magnitude (in N) is equal to twice the velocity (m/s) at any instant, assume the body to start from rest.Determine the displacement at any time, t.arrow_forward1- The roller coaster car has a brake and return system that has characteristics of a spring with a constant 45 lbs / ft. If the car has an initial velocity of 3 ft / s, determine the total force that the brake and return system must store. Assume that there is no friction, that the travel on the flat (from D to the spring) is 350 feet, and that the test weight of the car with passengers is 1000 Ibs. What does the sign of the answer mean? r=240 ft 90 ft RESORTE 60 ftarrow_forwardA brake test for an automobile is conducted. During the brake test, the automobile of mass 1800 kg (including driver) is travelling at the speed of 110 km/hr as it passes point A, and the car descends a hill of 1in 2 (Sine). The driver applies brakes so as to bring the car speed at B to 50 km/hr. The total frictional resistance to motion is 235 N. Using Work-Energy Method, Calculate the following required to bring the car to 50 km/hr from 110 km/hr in 210 m (From Point A to Point B) B Determine the Value of Total Energy about Point A TE= Determine the Value of Total Energy about Point B TEb= Determine the Value of Breaking Force needed Fb= N Aarrow_forward
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