Consider the system in the picture below: a cart of mass \( M \) with a static friction coefficient \( \mu \) is connected through a massless string to a hanging mass \( m \). **\( M \) is a capital letter, \( m \) is lower case. Write them as such, or your equations will be confusing.**![Diagram of a Cart and Hanging Mass System](image.jpg)The diagram shows a cart on a flat surface connected by a string over a pulley to a hanging mass. The cart is labeled \( M \) and the hanging mass is labeled \( m \).We want to find the maximum value of the hanging mass \( m \) such that the system is in equilibrium.1. **Free body diagram (FBD):** Draw a FBD for each: the Cart and the hanging mass. Clearly show *all* the forces.2. Clearly write the equilibrium equations for the cart in the horizontal and vertical direction.3. Clearly write the equilibrium equation for the hanging mass.4. Solve the system of the three equations above for the hanging mass \( m \). Show your calculation to get credit.5. What would happen if mass \( m \) **exceeds** this value? Explain.

Answered: Image /qna-images/answer/e8cd4724-dfa8-4709-aae6-09e2e0ba972c.jpg

Answered: Consider the system in the picture…

Similar questions

A rocket takes off from Earth's surface, accelerating straight up at 75.2 m/s. Calculate the normal force (in N) acting on an astronaut of mass 85.4 kg, including her space suit. (Assume the rocket's initial motion parallel to the +y-direction. Indicate the direction with the sign of your answer.) HINT N
Two blocks are connected by a massless rope. The rope passes over an ideal (frictionless and massless) pulley such that one block with mass m1 = 12.25 kg is on a horizontal table and the other block with mass m2 = 7.5 kg hangs vertically. Both blocks experience gravity and the tension force, T. Use the coordinate system specified in the diagram. a.) Assuming friction forces are negligible, write an expression, using only the variables provided, for the acceleration that the block of mass m1 experiences in the x-direction. Your answer should involve the tension, T. b.) Under the same assumptions, write an expression for the acceleration, a2, the block of mass m2 experiences in the y-direction. Your answer should be in terms of the tension, T and m2. c.) Carefully consider how the accelerations a1 and a2 are related. Solve for the magnitude of the acceleration, a1, of the block of mass m1, in meters per square second. d.)Find the magnitude of the tension in the rope, T, in newtons.
Tommy is working on a physics problem and asks his friend Sarah to check his work. He is to draw a free body diagram for a man walking to the left and comes up with the following: He reasons, “The man is walking to the left, so the force of friction is acting in the opposite direction. The normal force should be opposite and equal to that of the gravitational force.” Is Tommy correct with his diagram and reasoning? If so, explain. If not, what mistake did he make? Communication throughout the test will also be evaluated on 1) rounding using significant digits, 2) proper use of units, 3) organization and neatness, and 4) showing all work
The two trees in (Figure 1) are 7.1 m apart. A backpacker is trying to lift his 29-kg backpack out of the reach of bears. Part A Calculate the magnitude of the force F that he must exert downward to hold the backpack so that the rope sags at its midpoint by 1.3 m. Express your answer to two significant figures and include the appropriate units. F = Submit Part B for Part A for Part do for Part redo for Part A reset for Part A keyboard shortcuts for Part A help for Part A Value F = Request Answer Calculate the magnitude of the force F that he must exert downward to hold the backpack so that the rope sags at its midpoint by 0.13 m. Express your answer to two significant figures and include the appropriate units. Units Value for Part B for Part B do for Part th redo for Part B resetor Part B keyboard shortcuts for Part B help for Part B Units
A 1500-kg barge is being towed by means of two horizontal cables. One cable is pulling with a force of 90.0 N in a direction 25.0° west of north. Assume that the water exerts no appreciable frictional drag on the barge. Determine the following, showing all your steps clearly: a. In what direction should the second cable pull so that the barge will accelerate northward, if the force exerted by the cable is 130 N? Give your answer as an angle relative to north and state which direction (east of north or west of north). b. What is the acceleration that the barge moves north with? c. How far does it move in the first 15 seconds?
Need help with Part C
Pls help with the following and explain the right answer, thank you. part B. Find the direction of this force as the angle measured counterclockwise from the +x+�-axis directed horizontally to the right. Express your answer in degrees.
For the system shown, the coefficient of kinetic friction is 0.4 and the masses are 1 Kg each. If the system is Released from rest, determine the tension in the cord. B A
e1 A double incline is setup with two ramps as shown. The left block has a mass m1, and the right block has a mass m2. The left ramp is rough with kinetic friction coefficient uy and an angle 01. The ramp on the right is frictionless with an angle 02. The pulley is massless and frictionless. Assume the system starts accelerating to the right on initial release. a) In the Space below draw a set of free body diagrams (or a single one if taking that method which is fine) to fully describe all forces in this problem. b) Find an equation for the acceleration of the system.
A cardboard box rests on the floor of an elevator. The box has a mass m = 2.75 kg and the elevator has an upward acceleration of a. a. Write an expression for the sum of the forces acting on the box in the y-direction, ΣFy, given that up is the positive y-direction. Your answer should be in terms of FN, m, and g. b. Write an expression for the normal force, FN, that the block experiences in terms of the elevator's acceleration, the block's mass, and the acceleration of gravity. c. If the elevator's acceleration has a magnitude of g in the downward direction, what would the normal force, FN1 be in Newtons? d.If the elevator's acceleration had a magnitude of g in the upward direction, what would the normal force FN2 be in Newtons?
Solve asap i will give you upvote.thanks
Suppose that down at the docks, Popeye is pulling the objects shown below with a force of 985 N in the horizontal direction, as shown below. Mass #2 (150.0 kg) is connected to Mass #1 (50.0 kg) by a single cable that is passed over an ideal pulley. The coefficient of kinetic friction between Mass #2 and the ledge is 0.254. He successfully moves the objects after they were at rest. A. What is the magnitude of the tension in the rope connecting the objects? B. What is the magnitude of the acceleration of the objects?

SEE MORE QUESTIONS