The rod OA in Fig.1 rotates counterclockwise, its angular position (0) varies with time (t) according to Eq.1. Two pin-connected slider blocks, located at B, move freely on OA and the curved rod whose shape is a limacon described by Eq.2 14 exp(1 t+2 t²) 3 (rad) (1) where t is in seconds. r = 8 – 15 cos(0) , (mm) B r= 100 (2 – cos 0) 2)

Can anyone help me with these questions please

P.2) The lower link of the given mecha- nism is constrained to move horizontally with a velocity VA = 10i ft/s. At the depicted instant, A is located directly beneath the fixed pivot point C, and links AB and BC are orthogonal and of equal length, "B/A = 1.2 ft. Find w and VB. B/C A OB j

All this with steeps

The plot below shows the acceleration of a mass placed at the end of a beam as it oscillates: 20 Which we model as: Acceleration (m/s²) 15 10 5 0 -5 -10 -15 -20 0.5 1 Wd 1 1.5 1 2 = wn√1 y(t) = Ae-3wnt sin(wat) y(t) = Ae-Ct sin 1 2.5 Time (s) = 2π T 2π T 1+ 3 2π We will use MATLAB to find the decay constant C and the period T. We can then use these to calculate the damping ratio and the natural frequency @n, using: 3.5 T 4 2 and C = {wn O data zeros peaks decay fit 4.5 Using the information above, derive the expression shown below for the damping ratio 3. 1 3 = 5

1) Is it possible to prescribe the velocity v0, so that the pendulum keeps rotating with alpha = pi/2 Explain clearly why?  Given: L, g, and m. 2) After transient motion, the pendulum settles at steady state rotation atalpha = pi/3. Find the initial velocity v0. Given: L, g, m, sin(pi/3) = (squareroot(3)/2), cos(pi/3) = (1/2). [Hint: Use the conservation of energy and the 2nd Newton’s law.]

(a) A large rotating cylinder uniformly increases in angular speed from rest to 0.180 rev/s in 35.0 s. What is its angular acceleration in radians per second per second?  ?rad/s2 (b) The same cylinder again starts from rest and accelerates uniformly in the same time interval, but now the angular acceleration is double that found in part (a). What is true about the final angular speed? It is double the value given in part (a). It is the same as the value given in part (a).     It is half the value given in part (a). It is quadruple the value given in part (a).

Data has been gathered from a lifting system used to transport engine parts. The system consists of a drum and cable. The following data was obtained when the drum lowers the load (assume constant acceleration). Drum diameter = 0.8m Mass of load = 3kg Initial velocitv = 0 m/s Time to descend = A secs 2. ( Distance travelled = 0.25m You have been asked to use this information to determine with 4 s.f. accuracy: Drum Cable a) The final linear velocity of the load b) The linear acceleration of the load Load c) The final angular velocity of the drum d) The angular acceleration of the drum e) The tension force in the cable f) The torque applied to the drum In determining the above quantities, you should clearly state the formulae used and apply dimensional analysis techniques to show that all values/units used are homogeneous.

Please draw the vector diagram and explain the process to solving this question (relative velocity)