ft/sec Vp =t sin i+ cos

4. A weight, attached to a cord, is travelling on a smooth circular table. A cord is pulling the weight radially inward with a constant velocity of 5 cm/s. There are no forces in the 8-direction, so a = 0. 0 = 10 rad/s r=20cm 5 cm/s a. At the time shown on the figure, what is the radial component of acceleration? b. What is the angular acceleration, ö, of the block? (Hint: a = 0, but 0 +0)

The linkage shown consists of 2 sliders, 1 bar, and a plate. The velocities of A and C are given to be VA = 2 m/s Vg = 3 m/s At the instant given. Find the velocity of point B. Use vector notation. 0.1m W1 rad/s 0.26m 12. rad/s VB m/s

5. Two cars are traveling around a circular track as shown below. Answer the following questions. a. Use the drawing provided to clearly indicate the origin and direction of û, and ûn for each car. a. b. If both cars are traveling at the same speed, which car has a greater normal acceleration? Justify your response in words. C. If both cars travel at 50 mph, what is their velocity in ft/s? Show your work. Magnitude rounded to 3 sig. fig. Magnitude rounded to 3 sig. fig. Units 6. At the instant shown below, the bucket of the backhoe traces a path defined by r = 25 sin 0 ft, where 8 is in radians. When the bucket is at 0 = 100°, its angular velocity is 1.8 rad/s and its angular acceleration is Ö = -0.4 rad/s2. Answer the following questions. What is the radius, r, at this instant? Show your work. Magnitude rounded to 3 sig. fig. Units b. What is ve at this instant? Show your work. Units 7-400 ft = fe= 390 ft B

4. A stunt plane flying at the Reno Air Races is moving through the sky. The rectangular coordinates describing its motion are: x = -0.74t³ + 2.5t² + 10.25t y = -6.23t² + 16.45t + 8.94 where x and y are given in ft and t is given in seconds. a. Calculate the velocity vector, v, and acceleration, a, of the plane after 10 seconds (velocity is in ft/s and acceleration is in ft/s²). You may want to look back at your Topic 2 notes to recall how position, velocity, and acceleration are related. Your final answer should be given in vector form. b. Calculate the magnitude of the velocity (in mph) and the acceleration (in ft/s²) at t = 10 sec. [Ans. to Check: v = 132.46 mph; a = 41.32 ft/s²]

The position of the EOAT (gripper hand) of the SCARA Robot in Robotics Factory in BGSU can be expressed by cylindrical coordinate system. Mechatronics student wrote a code that moves the EOAT from position P1 into position P2 at constant angular velocity of 2rad/s. The path generated between these two points, measured from base of the robot follow radial path r = cos m. Calculate the velocity magnitude of EOAT at 0 = 30°. A) 1 m/s B) 2 m/s C)2cos30 m/s D) None of the above.

Problem 1 A Mechanisms Enthusiast Club is using a rigid bar (length LAB = 18 in.) with wheels riding along horizontal and sloped (angle = 45°) surfaces to demonstrate rigid body acceleration. Point B is measured with video analysis software at the instant shown (ß = 30°) to be traveling at VB = 20 in/s to the right while slowing down at ag = 5 in/s². A Using vector math, determine the velocity and acceleration of point A. Ө B G LAB ав B VB

3. Write the kinematic equations for rectilinear motion for constant acceleration. a. b. C.

5. For the following pin-collected link assembly, link AO is pinned at point O, and moves with angular velocity W and angular acceleration a (both counterclockwise). 2) if W = 4.2 rad/s and a = 8.0 rad/s2, what is the magnitude of the linear velocity of point A? Please pay attention: the numbers may change since they are randomized. Your answer must include 2 places after the decimal point, and proper unit. 0.5 m A 0, a B Your Answer: Answer units

Figure Q1(b) shows a train travelling along a circular curve of a radius r = 300 m. Atthe instant shown, its angular rate of rotation is 0.03 rad/s which is decreasing at0.0015 rad/s2. Calculate the magnitude of train’s velocity at this instant shown andalso calculate the magnitude and direction of the train’s acceleration at this instant.