PEARSON ETEXT ENGINEERING MECH & STATS
15th Edition
ISBN: 9780137514724
Author: HIBBELER
Publisher: PEARSON
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Rotation of bar OA is controlled by the lead screw which imparts a horizontal velocity v = 31 mm/s to collar C and causes pin P to travel along with the smooth slot. The velocity of collar C is decreasing at a rate of 5 mm/s2 at the instant in question. Determine the values of r¨ and θ¨, where r = OP, if h = 245 mm and x = 185 mm.
The collar A slides along the rod OB, which is rotating counterclockwise.Determine the velocity vector of A when OB is vertical, given that the speedof end B is 0.4 m/s in that position.
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- The ends of the slender bar of length l = 2 ft remain in contact with their respective support surfaces. If end A has a constant velocity VA 3 ft/sec in the direction shown, determine the speed of end B = at the instant when 0 = 30°. (vB=3.39 ft/sec) VA A Ꮎ 110° Barrow_forwardIf block B has a leftward velocity of 7 m/s, determine the velocity of cylinder A. в Aarrow_forwardThe slider P can be moved inward by means of the string S, while the slotted arm rotates about point O. The angular position of the arm is given by 0 = 0.84t - 0.056t2, where is in radians and t is in seconds. The slider is at r = 1.42 m when t = 0 and thereafter is drawn inward at the constant rate of 0.15 m/s. Determine the velocity v and acceleration a of the slider when t = 2.5 s. Express your answers in the x-y coordinate system. Answers: At t = 2.5 s, v = (i a = ( IN p x i+ i+ i j) m/s j) m/s²arrow_forward
- The rod AB is attached to collars at its ends by ball-and-socket joints. Collar A has a velocity vA = 14 ft/s at the instant shown in (Figure 1). Assume d = 4 ft Determine the velocity of collar B in ft/s. (Only Handwritten answer needed)arrow_forwardThe slider P can be moved inward by means of the string S, while the slotted arm rotates about point O. The angular position of the arm is given by 0 = 0.53t - 0.036t², where is in radians and t is in seconds. The slider is at r = 1.29 m when t = 0 and thereafter is drawn inward at the constant rate of 0.12 m/s. Determine the velocity v and acceleration a of the slider when t = 3.1 s. Express your answers in the x-y coordinate system. S Answers: At t = 3.1 s, v = ( i -0.12 0.2816 j) m/s a = ( i -0.0864 -0.1397 j) m/s² i+ i+ iarrow_forwardThe slider P can be moved inward by means of the string S, while the slotted arm rotates about point O. The angular position of the arm is given by 0 = 0.74t -0.046t², where is in radians and t is in seconds. The slider is at r = 1.39 m when t = 0 and thereafter is drawn inward at the constant rate of 0.14 m/s. Determine the velocity v and acceleration a of the slider when t = 2.9 s. Express your answers in the x-y coordinate system. Answers: At t = 2.9 s, v = ( i a=i -0.3018 -0.08977 i+ i -1.8605 i+ i -0.9043 j) m/s j) m/s²arrow_forward
- The speed of the slide block C is vC in the upward direction in the inclined slot. Determine the velocity of point B at the instant shown. Given: vC = 7 fts L = 1.2 ft θ= 45°arrow_forwardIf block B has a leftward velocity of 8 m/s, determine the velocity of cylinder A. (DO NOT PUT SIGN ON YOUR ANSWER) A B. Supportarrow_forwardThe slider P can be moved inward by means of the string S, while the slotted arm rotates about point O. The angular position of the arm is given by 0 = 0.59t -0.039t2, where is in radians and t is in seconds. The slider is at r = 1.31 m when t = 0 and thereafter is drawn inward at the constant rate of 0.11 m/s. Determine the velocity v and acceleration a of the slider when t = 2.0 s. Express your answers in the x-y coordinate system. Answers: At t = 2.0 s, v = ( a = i i P i+ i i+ i Next question j) m/s j) m/s²arrow_forward
- The two blocks at A and B can move in the fixed slots as shown below. If the velocity of Block A is 5m/s downward, determine the velocity of Block B at the instant 8-53⁰. 5m/s A 53⁰ s=0.8m B VB=?arrow_forwardThe slider P can be moved inward by means of the string S, while the slotted arm rotates about point O. The angular position of the arm is given by θ = 0.60t - 0.039t2, where θ is in radians and t is in seconds. The slider is at r = 1.47 m when t = 0 and thereafter is drawn inward at the constant rate of 0.12 m/s. Determine the velocity v and acceleration a of the slider when t = 2.0 s. Express your answers in the x-y coordinate system.arrow_forwardCar A is traveling at the constant speed of 45 km/h as it rounds the circular curve of radius r = 380 m and at the instant represented is at the position 0 = 40°. Car B is traveling at the constant speed of 54 km/h and passes the center of the circle at this same instant. Car A is located with respect to car B by polar coordinates r and with the pole moving with B. For this instant determine VA/B and the values of r and as measured by an observer in car B. Answers: VA/B = r = 0 = i i 8 m/s m/s rad/s Barrow_forward
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