Determine whether the block shown in the figure is in equilibrium and find the magnitude and direction of the friction force when 0 = 40° and P= 394 N. Given: μs = 0.20 and Uk = 0.15. 0 800 N 25° The block is in equilibrium. True The magnitude and direction of the friction force is
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- An object is subjected to three forces as shown in the figure. Assume F1 = 50.0 N and F2 = 95.0 N, what is T if the object is in static equilibrium? Enter a number with three significant digits.(a) What is the minimum force of friction required to hold the system of the figure below in equilibrium? Let w, = 100 N and w, = 35.0 N. (b) What coefficient of static friction between the 100 N block and the table ensures equilibrium? (c) If the coefficient of kinetic friction between the 100 N block and the table is 0.21, what hanging weight should replace the 35.0 N weight to allow the system to move at a constant speed once it is set in motion? N W2Forces F₁, F₂, and F 2 3 act on the structure shown below, at an overhead view. We wish to put the structure in equilibrium by applying a fourth force, at a point such as P. The fourth force has vector components an We are given that a = 2.9 m, b = 3.4 m, c = 1.3 m, F₁ = 21 N, and F F2= 12 N, and F3 = 6.4 N. (a) Find F 47 F (b) Find F. (c) Find d. N N E a V
- A 14.0 m uniform ladder weighing 480 N rests against a frictionless wall. The ladder makes a 55.0°-angle with the horizontal. (a) Find the horizontal and vertical forces (in N) the ground exerts on the base of the ladder when an 850-N firefighter has climbed 4.10 m along the ladder from the bottom. horizontal force magnitude 342.35 direction vertical force magnitude direction towards the wall up m N ✪ N (b) If the ladder is just on the verge of slipping when the firefighter is 9.10 m from the bottom, what is the coefficient of static friction between ladder and ground? (c) What If? If oil is spilled on the ground, causing the coefficient of static friction to drop to half the value found in part (b), what is the maximum distance (in m) the firefighter can climb along the ladder from the bottom before the ladder slips?Determine two force members first. Two blocks are each pin connected to a massless horizontal link. Determine the largest P before motion cocurs. Use 0.35 and 0.3 for the friction coefficients. 4.5 kg 3 kg B 30°A beam of length 11 m is supported as shown below. There is a pin in the bottom end of the beam and a mass hanging from the top end of the beam. If the mass of the beam is mb =264 kg, the hanging block has a mass of m1 =81.8 kg, theta = 50.1 degrees, and phi = 35.1 degrees, what is magnitude of the tension in the wire attaching the beam to the ground?
- Determine whether the block shown is in equilibrium and find the magnitude and direction of the friction force when 0 = 45° and P = 900 N. W = 700 N Ꮎ μs = 0.40 Mk = 0.30 PA uniform plank of length 2.00 m and mass 26.0 kg is supported by three ropes, as indicated by the blue vectors in the figure below. Find the tension in each rope when a 710–N person is d = 0.500 m from the left end. Answer the 3 boxes below:The forces are in static equilibrium. The 140 lb force is directed along the x-axis and the 300 lb force is directed along the negative z-axis. What is the angle between R and the z-axis? Provide your answer in degrees, but do not include units in your answer. Z X R ex лог 140lb A 1-50, 80, 160) lb By 300 lb Y
- 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 diagram below shows a particle in equilibrium under the forces shown. Obtain an equation by resolving in the Ox direction, then obtain an equation by solving in the Oy direction, and then use these equation to find the unknown force and angle. y 45° 3 N 1 N P Ꮎ ; x 15√2 NA diving board of length 3.00 m is supported at a point 1.00 m from the end, and a diver weighing 550 N stands at the free end (Figure 1). The diving board is of uniform cross section and weighs 270 N. For related problemealing ting and strateginn Figure K-1.00 m- -2.00 m 1 of 1 ▼ Part A Find the magnitude of the force at the support point. Express your answer in newtons. VG ΑΣΦ Fsupport Submit Part B = Request Answer ? N