2) The 5 meter long beam AE is being lowered by means of two overheard cables. At the instant shown, it is known that the velocity of point D 1 1 m/s downward and the velocity of point E is 1.5 m/s downward. A D E -1.5 m 2 m 1.5 m Determine: (a) the instantaneous center of rotation of the beam (b) the velocity of point A. ANS. A) X = 4.5 m B) VA=0.1657 m/s x-1.5 с X

An airplane is moving due west at a speed of 100 mi/hr. The propeller blades is 5 ft. long (radius of blades rotation) and turning 1800 RPM clockwise when viewed from the front. Determine: (a) the propeller velocity at the instant when it is vertically above the axis of propellers rotation, (in ft/sec.) and (b) the magnitude and position of the vector resultant of the propellers. (ft/sec. and degrees).

The piston of the hydraulic cylinder gives pin A a constant velocity v = 2.1 ft/sec in the direction shown for an interval of its motion. For where r = OA. the instant when = 54%, determine , r, 0, and 6.1" ✓ Answers: r = r = 0 = ÿ = i -1.6989 i 1.9645 i 2.425 10.623 ft/sec ft/sec² rad/sec rad/sec²

One morning, Connie walks from her house to go to a store that is 500 ft, S 40o W from her house. She starts walking 120 ft, SW; then continues walking 100 ft, 10o S of E; then sees a friend who is 700 ft, 30o N of E from where she is. What is her friend’s location, (magnitude and direction) relative to her house? (Answer: 667.54 ft, 21.79o N of E)

.Pin P is constrained to move in a slotted track of rod AE and BD. Given WAE and WBD are 4 r/s and 5 r/s CW respectively, determine at the instant shown the velocity of pin Pusing vector approach. vp = -0.72177-0.9167j (m/s)] A 250 mm 60⁰ D B P E

1-) Point P moves upward vertically along the rod (constant speed v=3m/s). (When P is at a height h=0.75m, d is equal to 0.75m) Determine a) the angular velocity of the (slotted) link and b) the velocity of P relative to the (slotted) link at this instant. ·d- TWIT A y

Q1: Two smooth disks A and B, having mass of 1 kg and 2 kg respectively, collide with the velocities shown. If the coefficient of restitution for the disks is e = 0.75, determine the x and y components of the final velocity of each disk just after collision. (VB) =1 m/s = 45° 8 = 30 Line of impact (VA) = 3 m/s Plane of contact

450 B A rigid red of length L = 2.6 ft is position against two surfaces, as Shown. Given that, at the instant shown, the velocity of end A is V₁ = 7.6 fils down slope, find, at this instant : (mag and direc) and direc) (a) the rod's angular velocity w (b) the velocity V₂ of end B (mag B Use the decomposition method. (That is, draw and use a GPMDE.)

Rod CD is rotating with an angular velocity wCD = 3.2 rad/s 30 0.4 m Im 0.5 m CD D Part A Determine the angular velocity of the rod AB at the instant shown, measured clockwise. Express your answer using three significant figures. Enter positive value if the angular velocity is clockwise and negative value if the angular velocity counterclockwise. ANSWER: WAB = rad/s Part B Determine the angular velocity of the rod CB at the instant shown, measured counterclockwise. Express your answer using three significant figures. Enter positive value if the angular velocity is counterclockwise and negative value if the angular velocity is clockwise. ANSWER: wCR = rad/s

determine the magnitude of velocity at C if the angular velocity of bar BCD is 5.35rad/s CCW and velocity of D is 2.65m/s. Also, the angular velocity of bar DE is 12.5 rad/s. please give detailed solution when getting velocity using trigonometry