Problem 4. Part 1 100 mm C @ PROBLEM 15.160 Pin P slides in the circular slot cut in the plate shown at a constant relative speed u = 500 mm/s. Assuming that at the instant shown the angular velocity of the plate is 6 rad/s and is increasing at the rate of 20 rad/s², determine the acceleration of pin P when = 90°. 150 mm is NOT zero. Answer: a = 3.4î −15.1ĵ m/s² ) P (Hint: u is a constant number, which means that the tangential component of F is zero. However, the normal component of Part2. When 0 = 120°, u = 600 mm/s and is increasing at the rate of 30mm/s², determine the acceleration of pin P.

Problem 5. Disk D of the Geneva mechanism rotates with constant counterclockwise angular velocity wD = 10 rad/s. At the instant when & = 150º, determine (a) the angular velocity of disk S, and (b) the velocity of pin P relative to disk S. (c). the angular acceleration of S. Disk S R=50 mm =135° |1=√ER- Disk D Partial answers: Ō = -4.08 Â rad/s ā¸ = -233 k rad/s²

Problem 3. In the figure below, point A protrudes from link AB and slides in the rod OC. Rod OC is rotating with angular velocity woc = 2 rad/s and aoc = 3 rad/s² in the directions shown. Find the following, remembering to clearly define your axes and the rate of rotation of the frame. a. The angular velocity of link AB and the velocity of A relative to rod OC. m (Answers: @AB is 2.9 rad/s CCW, rxy = .58! toward C) S b. The angular acceleration of link AB and the acceleration of A relative to rod OC. Answers: αAB = 7.12 rad/s² CCW, r = 6.3 m ܐܨ toward C. B C A 30° Фос 400 mm OA=500 mm doc

Problem 2. 6 m 30° B PROBLEM 15.164 At the instant shown the length of the boom AB is being decreased at the constant rate of 0.2 m/s and the boom is being lowered at the constant rate of 0.08 rad/s. Determine (a) the velocity of Point B, (b) the acceleration of Point B. Partial answer: a = −0.049î +0.009ĵ m/s²

A crate is hung by three ropes attached to a steel ring at A such that the top surface is parallel to the xy plane. Point A is located at a height of h = 121.92 cm above the top of the crate directly over the geometric center of the top surface. Use the given dimensions from the table below to perform the following calculations: →> a.) Determine the position vector IAD that describes rope AD. b.) Compute the unit vector cд that points from point C to point A. c.) If rope AB carries a tension force of magnitude FT = 760 → N, determine the force vector FT that expresses how this force acts on point A. Express each vector in Cartesian components to three significant figures. 2013 Michael Swanbom ↑z BY NC SA b x B У a D Values for dimensions on the figure are given in the following table. Note the figure may not be to scale. Be sure to align your cartesian unit vectors with the coordinate axes shown in the figure. Variable Value a 101.6 cm b 124.46 cm с 38.71 cm a. rдD = + b. ÛCA c. FT= =…

F3 N< Ꮎ 2 F2 -Y F1 There are 3 forces acting on the eye bolt. Force F1 acts on the XY plane has a magnitude of 536 lbf, and the angle of 0 = 38°. Force F2 acts on the YZ plane has a magnitude of 651 lbf, and the angle = 41°. Force F3 has a magnitude of 256 lb, and coordinate. = f direction angles of a 71°, B = 115°, and y = 33°. Determine the resultant force on the eye bolt. FR = ( + k) lbf FR magnitude: FR coordinate direction angle a: deg FR coordinate direction angle ẞ`: deg FR coordinate direction angle y: deg lbf

Ball joints connect the ends of each of the struts as shown. The resulting structure supports a force of F = 1925 N which lies in the xz plane. a.) Determine the angle (in degrees) between strut AD and strut AC. b.) Determine the dimension g such that the force Fis →> perpendicular to гAC. 2013 Michael Swanbom CC BY NC SA B b C h/ L 不 g F ୮ d y LLC Values for dimensions on the figure are given in the table below. Note the figure may not be to scale. Be sure to align your cartesian unit vectors with the coordinate axes shown in the figure. Variable Value a 4.8 cm b 13.4 cm C 11.6 cm d 10.4 cm h 4.4 cm k 14.8 cm a. The angle between strut AD and strut AC is b. The dimension g is deg. cm.

13 F1 35 N = 37°. = Determine the resultant force on the eye bolt. FR = ( + FR magnitude: FR coordinate direction angle a: deg FR coordinate direction angle ẞ`: Ꭱ deg FR coordinate direction angle y: deg N k) N

A hollow cylinder with inner radius of 30 mm and outer radius of 50 mm is heated at the inner surface at a rate of 10^5m^2W​ and dissipated heat by convection from outer surface into a fluid at 80∘C with h=400 m2 KW​. There is no energy generation and thermal conductivity of the material is constant at 15mKW​. Calculate the temperature of inside and outside surfaces of cylinder.