PEARSON ETEXT ENGINEERING MECH & STATS
15th Edition
ISBN: 9780137514724
Author: HIBBELER
Publisher: PEARSON
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The spring has a stiffness k = 200 N>m and is unstretched when the 25-kg block is at A. Determine the acceleration of the block when s = 0.4 m. The contact surface between the block and the plane is smooth.
The collar has a mass of 20 kg and is supported on the smooth rod. The attached springs are undeformed when d=0.5m. Determine the speed of the collar after the applied force F=100N causes it to be displaced so that d=0.3m. When d=0.5m the collar is at rest.
The block of weight 8 Ib is released from rest at A
and slides down the smooth circular surface AB.
It then continues to slide along the horizontal
rough surface until it strikes the spring.
Determine how far (ft) it compresses the spring
before stopping. (uk = 0.2, a= 4 ft,6 = 90 deg,
b = 2 ft, k = 40 lb/ ft)
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- The collar with mass of 0.9 kg is released from rest at position A and travels down the smooth circular rod in the vertical plane. The spring has a stiffness of k = 145 N and an unstretched length of 0.5 meters. Consider R = 2.0 meters, 0 = 23°, and g = 10 m. Determine the work done by the weight of the collar (in Joules) during the motion from point A to point C. A m R/2 D В Carrow_forwardThe 750-mm-long spring is compressed by the plate P, which can slide freely on the 600- mm-long vertical bars. The 55.6-kg block is given a velocity of v = 5 m/s when it is x = 2 m above the plate. Determine how far the plate travels down when the block stops momentarily after hitting it. Neglect the mass of the plate. v = 5 m/s P k = 25 kN/m- A h = 2m 600 mmarrow_forwardB3arrow_forward
- The spring is not stretched or compressed when “s=0.8m" and the 11 kg block which is subjected to a force of 105 N has a speed of 5.5 m/s down the smooth plane. Using "THE PRINCIPLE OF WORK AND ENERGY", find the distance "s" when the block STOPS. k = 200 N/m 5 m/s F = 100 N 30°arrow_forwardThe elevator E and its freight have a total mass of 400kg. Hoisting is provided by the motor M and the 150-kg block C. If the motor has an efficiency of ε =0.85, determine the power that must be supplied to themotor when the elevator is hoisted upwards at aconstant speed of VE = 4 m/s. Please show every single step of the process and the free body diagrams thanksarrow_forwardThe 50-1b block rests on the smooth surface. A force F = (40+s) Ib, which s isin ft, acts on the block in the direction shown. If the spring is originally unstretched (s = 0) and the block is at rest, determine the power developed by the force the instant theblock has moved s = 1.5 ft.F30°k = 20 lb/ftarrow_forward
- -y = 45 - hft k lblft www Ift The 5-lb collar has a speed of 3 ft.s1 at A. The attached spring has an unstretched length of 2- ft and a stiffness of k=17lb.ft1. If the collar moves over the smooth rod, determine its speed when it reaches point B. The height of A is h=9-ft and B is at l=4-ft from the vertical of Aarrow_forwardThe small car, which has a mass of 21.7 kg, rolls freely on the horizontal track and carries the 4.4-kg sphere mounted on the light rotating rod with r = 0.56 m. A geared motor drive maintains a constant angular speed 0 = 2.8 rad/s of the rod. If the car has a velocity v = 0.45 m/s when 0 = 0, calculate v when = 53°. Neglect the mass of the wheels and any friction. Answer: When 8 = 53°, v = i m/sarrow_forwardThe 4-lb collar C fits closely the smooth shaft. The spring in unstretched when s=0 and its stiffness is 6 lb/ft. AT s=0 ft, the collar is given a velocity of 19ft.s-1. The height is 0.6-ft. determine the position of the collar when its velocity is 0 ft.s-1arrow_forward
- A block initially at rest at the top slides down along the smooth cylindrical surface. If the attached spring has a stiffness k = 2 lb/ft, determine its unstretched length so that it does not allow the 6 lb block to leave the surface until 8 = 60° www 2 ft www/www. N k = 2 lb/ftarrow_forwardIf the track is designed so that the passengers of the roller coaster do not experience a normal force less than 1/2 or more than 3 times their weight, determine the limiting heights hA and hC so that this does not occur. The roller coaster starts from rest at position A. Neglect friction. Please show every single step of the processarrow_forwardThe 4-kg box slides on the smooth surface and has a velocity of 15 m/s. If it strikes the smooth plate, which has a weight of 2 kg and is held in position by an unstretched spring of stiffness k = 600 N/m, determine the maximum compression imparted to the spring. Take e = 0.7 between the box and the plate.arrow_forward
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