Chapter 12, Problem 168P

2. A car is traveling along the circular curve of radius r = 90 m. At the instant shown, its angular rate of rotation is 0 = 0.4 rad/s, which is increasing at the rate of 0 = 0.2 rad/s² . Determine the magnitude of the car's velocity and acceleration at this instant. A r = 300 ft è = 0.4 rad/s Ö = 0.2 rad/s2

The end B of rod AB moves up the right half of the parabolic slope at the constant speed of 0.3 m/s as shown in the figure. Determine the velocity and acceleration of point A, which is at the origin at the given instant.

Radial transverse components: When the rod OA rotates, the pin P moves along the parabola BCD. If it is known that the equation of this parabola is r=2b/(1-cos(θ)) and that θ = kt, determine the velocity and acceleration of P when:a) θ=0 b) θ=90°  Note: Take b = 40 inches and k = 0.01 rad/s determine for θ = 0° and θ = 90° (Indicate magnitude, direction and sense).

The member OA of the industrial robot telescopes and pivots about the fixed axis at point O. At the instant shown, 0 = 60°, 6 = 1.2 rad/s, 60.8 rad/s2, OA = 0.9 m, OA 0.5 m/s, and OA = -6 m/s2. Determine the magnitudes of the velocity and acceleration of joint A of the robot. Also, sketch the velocity and acceleration of A and determine the angles which these vectors make with the posi- tive x-axis. The base of the robot does not revolve %3D about a vertical axis. 1.1 m. 0.9 m 15° P

The particle P starts from rest at point A at time t = 0 and changes its speed thereafter at a constant rate of 2.9g as it follows the horizontal path shown. Determine the magnitude and direction of its total acceleration at timest= 0.78 s and t = 1.09 s. State your directions relative to the x-axis shown (CCW positive) and choose the angle with the smallest magnitude. A. P B -2.71 m- 3.99 m Answers: Att = 0.78 s, a= m/s?. e = i Att = 1.09 s, a = i m/s?, e = i

Q2) The bent flat bar rotates about a fixed axis through point O. The angle can be found at any instant according to this relation = sin(t), where is in red and is in seconds. At this instant, determine the instantaneous velocity and acceleration of point A. Note: 8, 8. Also, you must change the angle from (Degree) to (Rad) 30 0.5 m 0.3 m 105

The bent rod rotates about an axis connecting points A and E. All bends in the rod are 90° angles, and the given dimensions are h=21 cm, / = 14.5 cm, d = 21cm, and b = 7.6 cm. Express all your answers using the component system shown. If, at the instant shown, the rod is rotating with a constant angular speed of 26 rad/s and the rotation is counterclockwise as viewed from A looking toward E, determine the velocity and acceleration of point C. (Round the final answers to four decimal places. Include a minus sign if necessary.) The velocity of point Cisc The acceleration of point C is ac = Â) cm/s. k)cm/s²

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

The plate OAB forms an equilateral triangle with sides of S = 225 mm which rotates counterclockwise with increasing speed about point O. If the normal and tangential components of acceleration of the centroid C at a certain instant are 118 m/s? and 43 m/s², respectively, determine the value of de/dt in rad/s at this same instant. The angle e is the angle between line AB and the fixed horizontal axis. В C.