Is a so that there is a mass on either side of the pulley. If one of the masses is 12.5 kg and the other mass is 9.75 kg, then determine the acceleration of the masses and the tension in the string. For simplicity you can make the usual assumptions about the string and the pulley. Include a force (or free-body) diagram of the situation. 10
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- A sledge is being pulled by two horses on a flat terrain. The net force on the sledge can be expressed in the Cartesian coordinate system as vector , where and denote directions to the east and north, respectively. Find the magnitude and direction of the pull.Consider the baby being weighed in the following figure. (a) What is the mass of the infant and basket if a scale reading of 55 N is observed? (b) What is tension T1in the cord attaching the baby to the scale? (c) What is tension T2, In the cord attaching the scale to the ceiling, If the scale has a mass of 0.500 kg? (d) Sketch the situation, indicating the system of interest used to solve each part. The masses of the cords are negligible.Sam is an active swole guy who enjoys multiple sports and excels at the track in the decathlon. Sam has a mass of 116kg and stands around 2.0m tall. if Sam pushes on the ground to begin running with a backward force of 4910N and downward force 1524N. a) how large is the resultant of these forces? b) what is the direction of the resultant force? c) describe what happens right after Sam applies these forces to the ground?
- BlockA (100.0 kg) is connect to block B (150.0 kg) as shown. The blocks are released from rest. The coefficient of friction between block Aand the inclined plane is 0.250. The500.0 g pulley has a radius of 5.00 cm. What is the acceleration of each blockafter block B has fallen 1.50 m? (Solve using Newton's Laws. You may assume africtionless pulley.) 20.0⁰ A Bdo all steps and make sure the signs and the answer is correct please You are pushing a box of mass m up a rough ramp of incline angleθ (see figure). Your applied constant force F is to the right ( parallel to the floor, not the ramp). There is friction between the box and the ramp and you push with just enough force to keep the box moving at a constant velocity. a) Draw a free-body diagram for the box (don’t rotate the FBD). b) Derive an expression for the magnitude of force F in terms of μk, g, θ, and m.#1) Use Newton's Second Law Analysis to solve the following problem. , 1 - sketch and FBDs, 2 - write 0 down force equations in all dimensions, and 3 solve for requested variable. Two boxes, connected by a rope, are at equilibrium (need to consider friction on the incline). Box B is not touching the incline, it is just hanging from the outer rim of the pulley. Assume the magnitude of the tension force is greater than the magnitude of the wx component of mass A for part A (this should help you determine the direction of the static friction force). Draw the FBD for both box A and box B separately. Use N, for Normal Force, use fs for the static friction force, use proper variations of wx and wy for the weight components (two masses here, so they should have different labels not just wx and wy for both, you need to be able to tell them apart), and use T for the Tension Force. Somewhere in your work show what your variations of the magnitudes of wx and wy are in terms of the masses and g…
- Problem A sold uniform ball with mass mand dlameter dis supported against a vertical frictioniess wall by a thin massiess wire of length L. a) Find the tension in the wire. m Solution a) Let us first derive the expression for the tension. By Newton's First LN IF the componenes of force that makes this so is Simplifying this results to T- Analyaing the figure above, we arrive at 2. By substitution, we arrive at the following T- sarti if the ball has a mass of 45 kg and diameter 32 cm, while the wire has a length of 30 cm. The tension is equal to T- 0.370 Nk) Incline the track so that the block travels down it with constant velocity. Measure the inclination ("angle of repose") of the track and from this determine the coefficient of friction, How does this value of µ compare with your previous value? Pulleys: a) Consider the following problem: Suppose a 500g mass is hung from a spring scale as shown in figure 1. Predict what reading (Newtons) the spring scale will read. What force F must you exert to hold up the mass and how does this compare with the tension in the string and scale reading? F ol m Prediction: deid b) Suppose instead that a string is placed over the pulley and attached to another 500g mass as shown in the figure. Predict what the readings will be on each of the spring scales shown in the figure. F Prediction: ni n b o 4The two blocks shown in fig below starts from rest. The pulleys are frictionless and the pulley is assumed to have negligible mass. Assuming the kinetic friction coefficient between block A and the inclined plane as 0.3, determine the acceleration of each block and tension in each cord. 500 Kg A D B 1500 Kg
- Solve the following problems completely. Include the FB A 30 kg barrel is sitting on a handcart as shown. Determine the forces acting on the barrel. 1. 30 kg 60° 2. A 50 kg truck engine is lifted using the setup sho Assuming that the pulleys are frictionless, What must be applied to the cable to hold the engine in the shown with d= 1m? (Hint: because the frictionless pu the tension in the cable will be uniform through out th whole length of the cable.) 30° 3m 3mWhat is the max mass block m can be without moving? I would suggest an x & y table in which we can add all the forces up and equal them to ma. Please and thank you.1 m A 10.3 m D B Figure 5