Chapter 12, Problem 177P

The body is formed of slender rod and rotates about a fixed axis through point O. At the instant shown, 0 = 0.8 rad/s and is constant. For this instant, the small collar A has a speed u = 2.5 m/s relative to the rod which is increasing at 1.2 m/s per second. If d = 2 m and r = 1 m, determine the magnitudes of the absolute velocity and absolute acceleration of the collar. (VA 4.96 m/s, aд 12.18 m/s²) = = d Ꮎ A น

Θ = 66 radians

The 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/s²

The 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 e = 0.78t - 0.058t?, where e is in radians and t is in seconds. The slider is atr= 1.51 m when t = 0 and thereafter is drawn inward at the constant rate of 0.10 m/s. Determine the velocity v and acceleration a of the slider when t = 2.3 s. Express your answers in the x-y coordinate system. Answers: At t = 2.3 s, v = ( i i+ i j) m/s a = (i i+ i j) m/s2

The 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+ i

The 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/s²

Pravinbhai

Find the angle between the velocity and acceleration vectors at t=2s and t=5s of the moving part with respect to the position vector R= (2t3 -5t2 )i-(4t4 )j in the plane.

The 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/s²