Lym. 600 L Problem 56. Two rods, each of length 1-0.5m and mass m, 1 kg, are joined together by hinges as shown. The bottom end of the left rod is connected to the ground, while the bottom end of the right one is connected to a block of mass m₂=2 kg. The block is then released to a position where the rods form a 60° angle with the horizontal plane. Friction is negligible. a) Find the velocity of point A as it hits the ground. b) Find the acceleration of mass my at that moment.

4) This Atwood's machine includes two blocks connected by a cable, going over a pulley without slipping. Block 1 (30.0 kg) is connected to a spring (70.0 N/m), and slides on a horizontal surface with a coefficient of kinetic friction of 0.0100. Block 2 is 50.0 kg, and hangs vertically from the cable. The pulley is a disk with a radius of 0.500 m, and its moment of inertia about the center of mass is 10. 0 kg-m“. a) Draw the three free body diagrams, and write out Newton's 2nd Law for each. b) Derive the equation of motion (inhomogeneous 2nd order ODE) for this system. c) Use u-substitution to rewrite this as a homogeneous 2nd order ODE. d) Assume the position x as a function of time t is of the form x(t) = A cos (wt + p) I disk for undamped natural frequency w, phase angle P, and amplitude A. The initial conditions are: x(0) v(0) = -3. 00 m/s. Solve for the position of the mass as a function of time (you need to solve for w, 4, and A). = 2. 00 m and Mz

Question 3(a) The non uniform XYZ bar which weighs 155 kg has its centre of gravity G at a distance 4 m from X. This bar rests on a homogeneous crate P. The static coefficient of friction between the bar and the crate is 0.31 while the same between the crate and the floor is 0.22. Determine the mass of the lightest crate P (in kilograms) that can be used to support this non uniform bar in the position shown in Figure 3. The height of the crate is 4.32 m and the length of the bar is 8.59 m. 4 m 3 m - 1 m - Figure 3 Question 3(b) Take an example from everyday life where you can identify the application of the concepts we learn in the "Dry friction" module. Sketch this example and discuss about the effect of friction on that particular scenario. Sketch does not have to be drawn to a scale. (Description should be 250 words or less).

Q.1) A 120 lb. block is raised by a massless screw-activated wedge as shown below. The single-threaded screw has a mean radius of 0.5 inch and advances 0.2 inch for each complete turn. The coefficient of kinetic friction for the screw threads is 0.35, and the coefficient of kinetic friction for all contact surfaces of the block and the wedge is 0.4. Calculate the moment M which must be applied to the handle of the screw to raise the block at a constant speed. 120 lb 15°

Q.3) The coefficient of friction between the 120 lb block (shown in figure below) and the incline plane is 0.3 and that between the cord and cylindrical support is 0.4. Determine the range of cylinder weight W for which the system shown below will be in equilibrium. μ = 0.3 120 lb 24° <μ = 0.4 5 W

Two blocks of mass m1 = 2kg and m2 = 8kg are connected by a light string and a smooth pulley. block m1 lies on a smooth horizontal plane and block m2 lies on a rough inclined plane with a friction coefficient of 0.5 (see picture). first the two blocks are held still. The tension in the rope when the two blocks are released is ... (sin 37° = 0.6) 340