PEARSON ETEXT ENGINEERING MECH & STATS
15th Edition
ISBN: 9780137514724
Author: HIBBELER
Publisher: PEARSON
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Chapter 14, Problem 16P
A small box of mass m is given a speed of
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The flat circular disk rotates about a vertical axis through O with a slowly increasing angular velocity w. Prior to rotation, each of the
0.52-kg sliding blocks has the position x = 28 mm with no force in its attached spring. Each spring has a stiffness of 430 N/m.
Determine the value of x for each spring for a steady speed of 279 rev/min. Also calculate the normal force N exerted by the side of the
slot on the block. The force N is positive if it pushes from the side labeled A. Neglect any friction between the blocks and the slots, and
neglect the mass of the springs. (Hint: Sum forces along and normal to the slot.)
Answers:
X =
wwwwwwww
N =
i
i
-74-74-
mm
mm
mm
N
The slotted arm OA rotates about a fixed axis through O. At the instant under consideration, θθ = 34°, θ˙θ˙ = 43 deg/s, and θ¨θ¨ = 10 deg/s2. Determine the magnited of the force F applied by arm OA and the magnitude of the force N applied by the sides of the slot to the 0.3-kg slider B. Neglect all friction, and let L = 0.88 m. The motion occurs in a vertical plane.
The small block B is attached to the vertex A of the
right circular cone using a light cord. The cone is
rotating at a constant angular velocity about the
vertical z-axis such that the block attains a speed of
0.6 m/sec. If the mass of the block is 0.3 kg,
determine the tension in the cord by neglecting
friction and the size of the block. Present your answer
in Newtons using 3 significant figures.
200 mm
B
300 mm
A
400 mm
Chapter 14 Solutions
PEARSON ETEXT ENGINEERING MECH & STATS
Ch. 14 - Prob. 1FPCh. 14 - If the motor exerts a constant force of 300 N on...Ch. 14 - If the motor exerts a force of F = (600 + 2s2) N...Ch. 14 - The 1.8-Mg dragster is traveling at 125 m/s when...Ch. 14 - When s = 0.5 m, the spring is unstretched and the...Ch. 14 - The 5-lb collar is pulled by a cord that passes...Ch. 14 - Prob. 2PCh. 14 - The 100-kg crate is subjected to the forces shown....Ch. 14 - Determine the required height h of the roller...Ch. 14 - When the driver applies the brakes of a light...
Ch. 14 - Prob. 7PCh. 14 - The force F, acting in a constant direction on the...Ch. 14 - The 2-lb brick slides down a smooth roof, such...Ch. 14 - The two blocks A and B have weights WA = 60 lb and...Ch. 14 - A small box of mass m is given a speed of v=14gr...Ch. 14 - Prob. 18PCh. 14 - If the cord is subjected to a constant force of F=...Ch. 14 - The crash cushion for a highway barrier consists...Ch. 14 - The 25-lb block has an initial speed of v0 = 10...Ch. 14 - At a given instant the 10-lb block A is moving...Ch. 14 - Prob. 25PCh. 14 - The catapulting mechanism is used to propel the...Ch. 14 - Prob. 27PCh. 14 - Prob. 31PCh. 14 - When the 150-lb skier is at point A he has a speed...Ch. 14 - Prob. 39PCh. 14 - Prob. 40PCh. 14 - If the contact surface between the 20-kg block and...Ch. 14 - Prob. 8FPCh. 14 - Prob. 9FPCh. 14 - Prob. 10FPCh. 14 - Prob. 11FPCh. 14 - Prob. 12FPCh. 14 - The jeep has a weight of 2500 lb and an engine...Ch. 14 - Determine the power Input for a motor necessary to...Ch. 14 - An automobile having a mass of 2 Mg travels up a 7...Ch. 14 - Prob. 45PCh. 14 - To dramatize the loss of energy in an automobile,...Ch. 14 - Escalator steps move with a constant speed of 0.6...Ch. 14 - Prob. 48PCh. 14 - The 1000-lb elevator is hoisted by the pulley...Ch. 14 - The sports car has a mass of 2.3 Mg, and while it...Ch. 14 - Prob. 54PCh. 14 - Prob. 55PCh. 14 - The 50-lb block rests on the rough surface for...Ch. 14 - The 2-kg pendulum bob is released from rest when...Ch. 14 - Prob. 14FPCh. 14 - Prob. 15FPCh. 14 - Prob. 16FPCh. 14 - The 75-lb block is released from rest 5 ft above...Ch. 14 - Prob. 18FPCh. 14 - The girl has a mass of 40 kg and center of mass at...Ch. 14 - The 30-lb block A is placed on top of two nested...Ch. 14 - The 5-kg collar has a velocity of 5 m/s to the...Ch. 14 - The 5-kg collar has a velocity of 5 m/s to the...Ch. 14 - Prob. 71PCh. 14 - The roller coaster car has a mass of 700 kg,...Ch. 14 - The roller coaster car has a mass of 700 kg,...Ch. 14 - Prob. 76PCh. 14 - The roller coaster car having a mass m is released...Ch. 14 - The spring has a stiffness k = 200 N/m and an...Ch. 14 - Prob. 79PCh. 14 - Prob. 80PCh. 14 - When s = 0, the spring on the firing mechanism is...Ch. 14 - If the mass of the earth is Me, show that the...Ch. 14 - A rocket of mass m is fired vertically from the...Ch. 14 - The 4-kg smooth collar has a speed of 3 m/s when...Ch. 14 - Prob. 85PCh. 14 - Prob. 87PCh. 14 - Prob. 90PCh. 14 - The roller coaster car has a speed of 15 ft/s when...Ch. 14 - Prob. 1RPCh. 14 - The small 2-lb collar starting from rest at A...Ch. 14 - Prob. 3RPCh. 14 - Prob. 4RPCh. 14 - Prob. 5RPCh. 14 - Prob. 6RPCh. 14 - Prob. 7RPCh. 14 - Prob. 8RP
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- The simple 2.3-kg pendulum is released from rest in the horizontal position. As it reaches the bottom position, the cord wraps around the smooth fixed pin at B and continues in the smaller arc in the vertical plane. Calculate the magnitude of the force R supported by the pin at B when the pendulum passes the position 8 = 43° 330 mm 2.3 kg B Answer: R= i 90° 720 mm Narrow_forwardThe slotted arm OB rotates in a horizontal plane about point O of the fixed circular cam with constant angular velocity 0 = 10rad/s. The spring has a stiffness of 6.4 kN/m and is uncompressed when 80. The smooth roller A has a mass of 0.36 kg. Determine the normal force N which the cam exerts on A and also the force R exerted on A by the sides of the slot when 8 52°. The force R is positive if contact is with the lower surface. All surfaces are smooth. Neglect the small diameter of the roller. Answers: N= R= 0.19 m 0.19 m B 278.166820949951087 N Narrow_forwardDetermine the steady-state angle a if the constant force P = 195 N is applied to the cart of mass M = 16 kg. The cart travels on the slope of angle 0 = 25° The pendulum bob has mass m = 4 kg and the rigid bar of length L = 1.1 m has negligible mass. Ignore all friction. P M L marrow_forward
- The slotted arm OA rotates about a fixed axis through O. At the instant under consideration, 0 = 37,0 = 44 deg/s, and 0 = 23 deg/s². Determine the magnited of the force F applied by arm OA and the magnitude of the force N applied by the sides of the slot to the 0.5-kg slider B. Neglect all friction, and let L = 0.84 m. The motion occurs in a vertical plane. Answers: F= N= i i -L m N B N 79⁰arrow_forwardThe cylindrical peg has a mass m and is confined to move along the smooth horizontal slot due to the rotation of the lever arm. (The figure shows the system as seen from above.) The angular rotation of the lever arm is e(t), wheret is in seconds. Obtain the equations of motion for the peg. r(0)arrow_forwardThe slotted arm OA rotates about a fixed axis through O. At the instant under consideration, 0 = 35%, 0 = 39 deg/s, and Ö = 15 deg/s². Determine the magnited of the force F applied by arm OA and the magnitude of the force N applied by the sides of the slot to the 0.2- kg slider B. Neglect all friction, and let L = 0.68 m. The motion occurs in a vertical plane. 0 -L B marrow_forward
- The slotted arm OA rotates about a fixed axis through O. At the instant under consideration, 0 = 34°, 0 = 43 deg/s, and Ö = 28 deg/s². Determine the magnited of the force F applied by arm OA and the magnitude of the force N applied by the sides of the slot to the 0.6-kg slider B. Neglect all friction, and let L = 0.75 m. The motion occurs in a vertical plane. 0 -L- B marrow_forwardThe T-shaped body of total mass m = 6.5 kg is constructed of uniform rod. If it is released from rest while in the position shown, determine the vertical force reaction at O as it passes the vertical position (124° after release). The distance b is 1.04 m.arrow_forwardThe slotted arm OA rotates about a fixed axis through O. At the instant under consideration, 0 = 34°, 0 = 43 deg/s, and 0 = 28 deg/s². Determine the magnited of the force F applied by arm OA and the magnitude of the force N applied by the sides of the slot to the 0.6-kg slider B. Neglect all friction, and let L = 0.75 m. The motion occurs in a vertical plane. Part 1 -L B Answer: ay = i m Slider B moves only vertically (the y-direction). Find the acceleration (positive if up, negative if down). B m y m/s²arrow_forward
- The smooth block B, having a mass of 1 kg, is attached to the vertex of the right circular cone using a light cord. If the block has a speed of 0.6 m/s around the cone, determine the tension in the cord and the reaction which the cone exerts on the block. Neglect the size of the block. 200 mm 400 mm 300 mmarrow_forwardA simple pendulum of mass m = 10 kg and length r= 1 m is mounted on the flatcar, which has a constant horizontal acceleration a = 1 m/s as shown. If the pendulum is released from rest relative to the flatcar at the position 0 = 0 deg, determine the expression for the tension Tin the supporting light rod for 0 = 45 deg and A = 90 deg.arrow_forwardSlider B moves only vertically (the y-direction). Find the acceleration (positive if up, negative if down). B m y Answer: a, = i m/s2 %3Darrow_forward
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