A cubical box (equal side lengths) of mass 1.7 kg (outline shown in blue in the figure) is supported at an angle = 16 degrees relative to a horizontal surface. The cable supporting the box is at an angle perpendicular to the in-plane diagonal of the box (shown as a dotted line). What is the minimum coefficient of static friction between the box and the horizontal surface such that the box will not slide?
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- A bag of cement weighing 525 N hangs in equilibrium from three wires as suggested in the figure below. Two of the wires make angles ?1 = 61.0° and ?2 = 42.0° with the horizontal. Assuming the system is in equilibrium, find the tensions T1, T2, and T3 in the wires. T1 = N T2 = N T3 =.A 1200-kg car is held in place by a light cable on a very smooth (frictionless) ramp, as shown in the figure (Figure 1). The cable makes an angle of 31.0 above the surface of the ramp, and the ramp itself rises at 25.0 above the horizontal. Find the tension in the cable and how hard does the surface of the ramp push on the car?An 88 kg person stands on a uniform ladder 4.0 m long, that weighs 100 N, as shown in the figure(Figure 1). The floor is rough; hence, it exerts both a normal force, f1, and a frictional force, f2, on the ladder. The wall, on the other hand, is frictionless; it exerts only a normal force, f3. Figure f₁ mg f3 a-3.8 m 1 of 1 Part A Using the dimensions given in the figure, find the forces exerted on the ladder when the person is halfway up the ladder. Express your answers using two significant figures separated by commas. fi, f2, f3 962.4,157.17,157.17 Submit ΓΨΠ ΑΣΦ Part B Previous Answers Request Answer X Incorrect; Try Again; 9 attempts remaining f1, f2, f3 = w Find the forces exerted on the ladder when the person is three-fourths of the way up the ladder. Express your answers using two significant figures separated by commas. VE ΑΣΦ kN ≈ ? kN
- Three main forces that act on the patella, and are shown on the diagram below. These forces are the quadriceps muscle force (FQ), the patella ligament force (FPL), and the patellofemoral joint reaction force (FPF). The angles a and ẞ are with respect to a line that is perpendicular to FPF. Assuming a = 10°, ẞ = 30°, and FQ = 4000 N, use the equations for static equilibrium to calculate the FPL in Newtons. Round to an integer, such there is no need for a decimal. FQ FPF FP BThe truss structure in a Figure Q4a is supported at A and B and has three forces acting vertically at nodes D, E and C, where F₁ = 25 KN, F2 = 75 kN and F3 = 35 kN. The horizontal distance between nodes A and B is d₁= 3.50 m and the horizontal distance between nodes B and C is d₂= 3.50 m. The angle a = = 60°, B = 60° and angle 0 = 30°. α F1₁ d1 3 IB * F2 E d2 Ꮎ F3 с Figure Q4a a) Determine the reactions at RA and Rc and A and C. Give your answers in kilonewtons (kN) to two decimal places. b) Determine the force acting in member AB and clearly state if the member is in compression or tension. Give your answer in kilonewtons (kN) to two decimal places.A skydiver weighing 65 kg jumps out of a helicopter hovering at a height of 3 kilometers. Assume a cross-sectional area of 0.5 square meters. After thirty seconds of free fall, the skydiver deploys the parachute and the cross-sectional area becomes 40 square meters. Reproduce the model for the skydiver in Excel or VenSim. In VenSim you may have to make At quite small in order not to throw an error. Because you reach terminal velocity relatively quickly your answer should not be particularly sensitive to the value of At you choose. What is the skydiver's terminal velocity without the parachute? meters/second What is the skydiver's terminal velocity with the parachute? meters/second
- 45° Tz T2 T. A cat burglar is planning a daring heist. He will lower himself from a beam as shown in the figure on the left. The burglar weighs 150 lbs. He plans to use a long rope that can withstand a tension of 100 lbs to suspend himself from a shorter rope, reasoning that each segment of the longer rope will only need to support half his weight. (The short rope segment is Kevlar and can easily support the burglar's full weight.) (a) Despite your moral outrage, you decide to set the burglar straight. Compute the tensions T1, T2, and T3 and explain why the plan will not work. (b) As a strictly intellectual exercise, you design an alternative arrangement of ropes that will support the burglar's weight using the same long rope from part (a). In the configuration on the right, what is the maximum angle 0 that will result in a tension of less than 100 lbs in each segment of rope? You may ignore the mass of the rope in parts (a) and (b).The block shown in (Figure 1) has a mass of m = 75 kg, a height H = 1.1 m, and width L = 1.6 m. It is resting on a ramp that makes an angle 0 = 34° with the horizontal. A force P is applied parallel to the surface of the ramp at the top of the block. What is the maximum force that can be applied without causing the block to move? The coefficient of static friction is μs = 0.42, and the center of mass of the block is at the center of the rectangle. What is the maximum magnitude of P that can be applied before tipping would occur, assuming the block does not slip? Express your answer to three significant figures with appropriate units. Ptip = 649 N Submit Previous Answers Correct Figure W H F x 2 of 2 Part F What is the maximum magnitude of P that does not cause motion of the block? Express your answer to three significant figures with appropriate units. ☐ μÅ Pmax = |667.611 N Submit Previous Answers Request Answer × Incorrect; Try Again; 5 attempts remaining Provide Feedback ? Review…Include a free body diagram please.
- In the figure, block M2 is sitting on a table and is connected by mass-less chords to block M1 and to a vertical wall. The coefficient of static friction between M2 and the table is Us=0.60. Block M1 has a mass of 8 kg. The angle made by the chord and the wall is 55 degrees. What minimum mass must block M2 have in order to remain stationary and not slide?The figure below shows a bird feeder that weighs 100.1 N. The feeder is supported by a vertical wire, which is in turn tied to two wires, each of which is attached to a horizontal support. The left wire makes a 60° angle with the support, while the right wire makes a 30° angle. What is the tension in each wire (in N)