n the figure, masses of a sphere of radius r and mass m are compressed between two neglected rods. The length of the bars is indicated by l, and the angle they make with the vertical by the angle. The force applied from the ends of the rods is in the horizontal direction and its magnitude is given by P. Friction between sphere and rods is neglected. Therefore, find the acceleration

Find the rato of masses m1/m2

The crane shown in the figure is lifting a 186-kg crate upward with an acceleration of 4.21 m/s². The cable from the crate passes over a solid cylindrical pulley at the top of the boom. The pulley has a mass of 195 kg. The cable is then wound onto a hollow cylindrical drum that is mounted on the deck of the crane. The mass of the drum is 136 kg, and its radius (the same as that of the pulley) is 0.198 m. The engine applies a counterclockwise torque to the drum in order to wind up the cable. What is the magnitude of this torque? Ignore the mass of the cable. Pulley- Drum Boom Number I Units N-m

Consider a square plate at rest in the horizontal plane with mass m, sides of length 2L, and center of mass at point G (located at the center of the square). Two forces are applied to the plate: FA is applied at corner A with some angle o relative to the edge of the plate, and FB is applied at point B parallel with the edge of the plate, as shown. The resulting motion is a pure acceleration (translation) to the right of magnitude a. The plate does not rotate. Determine the magnitude of the force applied at B, ||FB||. (Hint: Use Euler's 2nd Law about an arbitrary point (in this case about point A). FAS 2L 2L F B B a

5. Three blocks are connected over two frictionless, massless pulleys by two inextensible, massless cords as shown in the figure. There is friction between block m and the horizontal surface of the table. If the block m, moves downward after being released from rest, then what is the magnitude of the acceleration of the blocks and the magnitude of the tension in the cords in terms of the masses of the blocks m, , and ms, the coefficient of kinetic friction between block my and the table, a. and the acceleration due to gravity, g. Include a force diagram or free-body diagram of the situation.

The crane shown in the figure is lifting a 389-kg crate upward with an acceleration of 3.79 m/s². The cable from the crate passes over a solid cylindrical pulley at the top of the boom. The pulley has a mass of 108 kg. The cable is then wound onto a hollow cylindrical drum that is mounted on the deck of the crane. The mass of the drum is 190 kg, and its radius (the same as that of the pulley) is 0.449 m. The engine applies a counterclockwise torque to the drum in order to wind up the cable. What is the magnitude of this torque? Ignore the mass of the cable. Number i Units Pulley- Drum Boom

You are controlling a satellite with a mass of 300 kg. The main and lateral thrusters can exert the forces shown. How long do you need to run each of the thrusters to achieve the final velocity as shown in the diagram? Assume the satellite has zero initial velocity.

A box with mass m is on a frictionless inclined ramp, as shown. The ramp has an angle of θ with respect to the horizontal.  The ramp is firmly attached to the inside of a car. The car is traveling to the right, and is slowing down. The car has a constant acceleration with magnitude a.  You observe that the box doesn’t slide up or down the ramp.     What is the angle of the ramp? Write your answer in variables, using only m, g, and a. This problem should be solved using the “recipe” taught in class. Focus Draw a free body diagram Identify the direction of the acceleration Write Newton's 2nd law (F=ma) Solve for unknowns  Suppose that the driver now presses harder on the brakes. Would the box slide up the ramp, or slide down the ramp? Or would it not slide at all? No calculation required, but very briefly (one or two sentences) justify your answer. Draw a simple diagram if it helps!

1000 lb -8 ft +2ft A beam that weighs 300 lbs is supported by a roller and pin B and A respectively while being subjected to a force of 1000 lbs. If the pin at A is suddenly removed, determine the beams angular acceleration, the force exerted by support B and the horizontal acceleration just after A is removed. Assume the beam is a slender rod of negligible thickness. Please don't use angle measurements when solving. Use the 3-4-5 triangle to solve, if that makes sense. Thank you! Choutranco impgo tout

Blocks A and B shown in the figure have masses of 5 kg and 10 kg respectively.If the pulley is treated as a 3 kg solid disk with a 15 cm radius, determine the acceleration of the block A.  Disregard the rope mass and any slip on the pulley.Consider that the moment of inertia of the pulley is given by Ip = (1/2)mr² in which m is the mass of the pulley and r is of radius the pulley.