PEARSON ETEXT ENGINEERING MECH & STATS
15th Edition
ISBN: 9780137514724
Author: HIBBELER
Publisher: PEARSON
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A 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.
The rod of the fixed hydraulic cylinder is moving to the left with a speed of 94 mm/s and this speed is momentarily increasing at a rate
of 440 mm/s each second at the instant when SA = 355 mm. Determine the tension in the cord at that instant. The mass of slider Bis
0.77 kg, the length of the cord is 950 mm, and the effects of the radius and friction of the small pulley at A are negligible. Find results
for cases (a) negligible friction at slider B and (b) p = 0.42 at slider B. The action is in a vertical plane.
220 mm
Answers:
0.77 kg B
(a) Negligible friction: T= i
(b) Uk=0.42:
T= i
N
N
The slotted arm OA rotates about a horizontal axis through point O. The 0.18-kg slider P moves with negligible friction in the slot and is controlled by the inextensible cable BP. For the instant under consideration, θ=26∘, ω=θ˙=4.6 rad/s, θ¨=0, and r=0.63 m. Determine the corresponding values of the tension T in cable BP and the force reaction R perpendicular to the slot. The force R is positive if the contact comes from the lower edge of the slot and negative if the contact comes from the top edge.
*The answer is not 2.44 and -0.47 or 5.96 and 3.51
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- The slotted arm OA rotates about a horizontal axis through point O. The 0.18-kg slider P moves with negligible friction in the slot and is controlled by the inextensible cable BP. For the instant under consideration, θ=36∘, ω=θ˙=4.6 rad/s, θ¨=0, and r=0.63 m. Determine the corresponding values of the tension T in cable BP and the force reaction R perpendicular to the slot. The force R is positive if the contact comes from the lower edge of the slot and negative if the contact comes from the top edge.arrow_forwardThe slotted arm OA rotates about a horizontal axis through point O. The 0.30-kg slider P moves with negligible friction in the slot and is controlled by the inextensible cable BP. For the instant under consideration, 0 = 20°, w = 0 = 5.5 rad/s, 0 = 0, and r = 0.60 m. Determine the corresponding values of the tension T in cable BP and the force reaction R perpendicular to the slot. The force R is positive if the contact comes from the lower edge of the slot and negative if the contact comes from the top edge. T= @ R= r = 0.60 m Answers: 0.40 m- i i B P N Narrow_forwardThe slotted arm OA rotates about a horizontal axis through point O. The 0.18-kg slider P moves with negligible friction in the slot and is controlled by the inextensible cable BP. For the instant under consideration, θ=36∘, ω=θ˙=4.6 rad/s, θ¨=0, and r=0.63 m. Determine the corresponding values of the tension T in cable BP and the force reaction R perpendicular to the slot. The force R is positive if the contact comes from the lower edge of the slot and negative if the contact comes from the top edge. *The answer is not 2.44 and -0.47arrow_forward
- The 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_forwardThe slotted arm OA rotates about a horizontal axis through point O. The 0.21-kg slider P moves with negligible friction in the slot and is controlled by the inextensible cable BP. For the instant under consideration, 0 = 24,0 = 0 = 5.3 rad/s, 0 = 0, and r = 0.51 m. Determine the corresponding values of the tension T in cable BP and the force reaction R perpendicular to the slot. The force R is positive if the contact comes from the lower edge of the slot and negative if the contact comes from the top edge. r=0.51 m 0.31 m- Barrow_forwardThe slotted arm OA rotates about a horizontal axis through point O. The 0.21-kg slider P moves with negligible friction in the slot and is controlled by the inextensible cable BP. For the instant under consideration, 0 = 32°, w = 0 = 4.5 rad/s, 0 = 0, and r = 0.62 m. Determine the corresponding values of the tension T in cable BP and the force reaction R perpendicular to the slot. The force R is positive if the contact comes from the lower edge of the slot and negative if the contact comes from the top edge. T= r = 0.62 m Answers: R= 0.33 m- 4.38 1.09 B A Z Z N Narrow_forward
- At the instant when θ = 44°, the horizontal guide is given a constant upward velocity v = 1.0 ms, For this instant calculate the force Nexerted by the fixed circular slot and the force P exerted by the horizontal slot on the 0.65-kg pin A. The width of the slots is slightly greater than the diameter of the pin, and friction is negligible.arrow_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_forwardThe tractor is used to lift the 170-kg load B with the 24-m-long rope, boom, and pulley system. The tractor travels to the right with an acceleration of 4 m/s² and has a velocity of 5 m/s at the instant SA = 5 m. When SA = 0, SB = 0. (Figure 1) Figure 12 m -SA 1 of 1 Part A Determine the tension in the rope at this instant. Express your answer to three significant figu T = Value N Submit Previous Answers Request Answ X Incorrect; Try Againarrow_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 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_forwardThe mass of the ball is m = 20 kg and the length of the light rod is /= 0.52 m. The ball-rod assembly is free to rotate about a vertical axis through O. The carriage, rod, and ball are initially at rest with 0 = 0 when the carriage is given a constant acceleration ao = 5.4 m/s². Write an expression for the tension T in the rod as a function of 0 and calculate T for the position 0 = TT/2. Answers: T = i - ! Narrow_forward
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