PEARSON ETEXT ENGINEERING MECH & STATS
15th Edition
ISBN: 9780137514724
Author: HIBBELER
Publisher: PEARSON
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The 19-lb weight is supported by the cord AC and roller and by a spring. If the spring has an unstretched length of
7.1 In. and the weight is in equilibrium when d = 5.5 In., determine the stiffness k of the spring. Supply the answer in
lb/in.
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-12 in.
A.The bar of negligible weight is supported by two springs, each having a stiffness k = 98 N/m. If the springs are originally unstretched, and the force is vertical as shown, determine the angle the bar makes with the horizontal, when the 31-N force is applied to the bar.
B.Determine the stiffness k of each spring so that the 32-N force causes the bar to tip = 13.6° when the force is applied. Originally the bar is horizontal and the springs are unstretched. Neglect the weight of the bar.
The torsional spring at B is undeformed when bars OB and BD are both in the vertical position and overlap. If a force F is required to position the bars at a steady orientation θ = 64°, determine the torsional spring stiffness kT. The slot at C is smooth, and the weight of the bars is negligible. In this configuration, the pin at C is positioned at the midpoint of the slotted bar.
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- The 1200-lb homogeneous block is placed on rollers and pushed up the 10 incline at constant speed. Determine the force P and the roller reactions at A and B.arrow_forwardThe 60 kg block is supported by two springs having the stiffness shown. Determine the stretch of spring AC, S(AC): Select one: a. S(AC) = 2.23 m b. S(AC) = 0.2378 m c. none of these d. S(AC) = 0.1189 marrow_forwardEach spring has an unstretched length of 2 in and a stiffness of fc = 330 N/m . 1. Determine the stretch in 04 spring required to hold the 18-kg crate in the equilibrium position shown. 2. Determine the stretch in OB spring required to hold the 18-kg crate in the equilibrium position shown.arrow_forward
- Determine the magnitude of the reactions at pin A, pulley D is friction free, and the cylinder weighs 365 lbs. Take the distance b = 6ft.arrow_forwardA cable is attached to the structure at E, passes around the 0.1-m diameter, frictionless pulley at A, and then is attached to a 1000-N weight W. Determine the magnitudes of the horizontal and vertical components of force pin at F. Assume the wall at G is smooth. MUST DRAW ALL THE FREE-BODY DIAGRAMS. W 1 m. B m Imarrow_forwardAlso determine the magnitude of the force exerted by the hammer head on the block at A. Express your answer in units of lb.arrow_forward
- Find the force P required to pull the 40-kg homogeneous roller with radius 720mm over the 90-mm curb.arrow_forwardThe 30-kg block is supported by two springs having the stiffness shown. Determine the unstretched length of each spring after the block is removed. -0.6 m- KAC = 1.5 kN/m -0.4 m- B 0.5 m KAB = 1.2 kN/marrow_forwardThe homogeneous 240-lb bar is supported by a rough horizontal surface at A, a smooth vertical surface at B, and the cable BC. Draw the FBD of the bar and count the unknowns.arrow_forward
- The homogeneous plate of weight W is supported by a ball-and-socket joint at D and three wires. Draw the FBD of the plate and count the unknowns.arrow_forwardThe spring attached to the homogenous bar of weight W is undeformed when =0. Determine the smallest spring stiffness k for which the =0 equilibrium position will be stable. Use W = 10 lb, a = 24 in., and b = 6 in. Assume that the spring remains horizontal, which is a valid approximation if is small.arrow_forwardThe spring is connected to a rope that passes over the cylindrical surface and is attached to corner A of the rocker. The spring has a stiffness k and is undeformed when =0. When the weight W is suspended from A, the equilibrium position of the rocker is =30. Determine if this equilibrium position is stable. Neglect the weight of the rocker.arrow_forward
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