12-83. Pegs A and B are restricted to move in the elliptical slots due to the motion of the slotted link. If the link moves with a constant speed of 10 m/s, determine the magnitude of the velocity and acceleration of peg A when r = 1 m.

An offset crank-slider mechanism is shown in the figure. Crank length O2A = 63 mm, piston-rod length AB-130 mm, Distance between center point of crank and center line of piston is offset =52 mm. 1) Determine the displacement of piston d as a function of angular displacement of crank 02. 2) Calculate the value of displacement d when 02=55°

A7.3. PIN-IN-SLOT THREE-BAR MECHANISM. This problem is based on Z from Exam 2, with the exact same geometry: Link 1: fixed, horizontal, R = 10 in. Link 2: moving, R = 3 in., Point B is a pin, inserted into the slot in Link 3, \theta_{2}=105^{\circ}, \omega_{2}=10 \mathrm{deg} / \mathrm{s} \mathrm{ccw} Link 3: moving, long straight slotted link, with one end pinned to point C on the groundwith a revolute joint (A) Use the method of Instant Centers & AVRT to calculate wz. Report the direction. (B) Find the magnitude and direction of the sliding velocity at point B. Note, this is trickier than it seems.

Gear wear stress. Let both gears be made of steel (E = 30,000,000 psi, v= 0.3). ) What is Cp? What is ri, in inches? What is r2? O What is the compressive stress on the gear set? (Answer should be a negative number.)

Question 1: block 1 of mass m=2.0 kg and block 2 of mass m=3.0 kg are connected by a string of negligible mass and are initially held in place. Block 2 is on a friction less surface tilted at 0=30". The coefficient of kinetic friction between block 1 and the horizontal surface is 0.25. The pulley has negligible mass and friction. Once they are released, the blocks move. What then is the tension in the string?

Problem 2. A projectile is launched at a speed vo. For each situation referred to here, graph v-(t),vy(t), a„(t) and a, (t). Your graphs should be qualitatively correct relative to each other. (a) The projectile was launched horizontally from the roof of a building, (b) The projectile was launched from the ground at an angle 0 above the horizontal.

(a) Determine the angle of twist caused by a 40-kip in. torque T in the 3-in.-diameter solid aluminum shaft shown (G=3.7 x 10 psi). (b) Solve part (a), assuming that the solid shaft has been replaced by a hollow shaft of the same outer diameter and a 1-in. inner diameter.

4. Gear bending stress. Consider just the pair Gear 1 and 2. Gears are all 20° pressure angle with a milled profile and a face width of ". Let the transmitted load be 14.0 lbf and the pitch-line velocity be 1178 ft/min. O What is Y for 20 and 80 teeth? )What is K? What is the bending stress on Gear 1, in psi? What is the bending stress on Gear 2?

Problem 10. When baseball players throw the ball from the outfield, they usually allow it to take one bounce before it reaches the infield because they think that the ball will arrive sooner that way.Suppose that the angle at which a bounced ball leaves the ground is the same as the angle at which it is thrown but the ball's speed after the bounce is one-half of what it was just before the bounce.(a) Assume that the ball is always thrown with the same initial speed. At what angle 0 should the fielder throw the ball to make it go the same distance D with one bounce as a ball thrown upwards at 45° with no bounce? (b) Determine the ratio of the time intervals for the two paths. Is it better to throw the ball on a bounce?

Two solid steel shafts (G= 77.2 GPa) are connected to a coupling disk B and to fixed supports at A and C. For the loading shown, determine (a) the reaction at each support, (b) the maximum shearing stress in shaft AB, (c) the maximum shearing stress in shaft BC.