In a two-dimensional tug-of-war, Alex, Betty, and Charles pull horizontally on an automobile tire at the angles shown in the picture. The tire remains stationary in spite of the three pulls. Alex pulls with force F A of magnitude 214 N, and Charles pulls with force F c of magnitude 183 N. Note that the direction of F c is not given. What is the magnitude of Betty's force F B if Charles pulls in (a) the direction drawn in the picture or (b) the other possible direction for equilibrium? Alex Charles 145° Betty (a) Number i Units (h) Dlumbor LUnito

Write an expression for the magnitude of the normal force, F N acting on the block, in terms of F2, g, and the other variables of the problem. Assume that the surface it rests on is rigid.

A tugboat tows a ship at a constant velocity. The tow harness consists of a single tow cable attached to the tugboat at point A that splits at point B and attaches to the ship at points C and D. The two rope segments BC and BD angle away from the B center of the ship at angles of o = 28.0 ° and 0 = 21.0 °, respectively. The tugboat pulls with a force of 1500 lb. What are the tensions TBc and TBp in the rope segments BC and BD? Express your answers numerically in pounds to three significant figures separated by a comma. • View Available Hint(s) Π ΑΣφ vec! ? TBc, TBD = lb

Two forces, F₁ and F2, act at a point. The magnitude of F₁ is 8.50 N, and its direction is an angle 65.0° above the negative direction of x-axis in the second quadrant. The magnitude of F2 is 5.00 N, and its direction is an angle 52.1° below the negative direction of x-axis in the third quadrant. What is the x-component of the resultant force? What is the y-component of the resultant force? What is the magnitude of the resultant force?

Hector is walking his dog (Fido) around the neighborhood. Upon arriving at Fidella's house (a friend of Fido's), Fido turns part mule and refuses to continue on the walk. Hector yanks on the chain with a 67.0 N force at an angle of 30.0° above the horizontal. Determine the horizontal and vertical components of the tension force.

The figure below shows a bird feeder that weighs 167.9 N. The feeder is supported by a vertical string, which is in turn tied to two strings, each of which is attached to a horizontal branch. The left string makes a 60° angle with the branch, while the right string makes a 30° angle. What is the tension in each string (in N)?   left string __N right string __N bottom string __N

A boy has filled his toy box with all his favorite toys and it trying to drag it across the floor. The toy box has a mass of 35 kg (including the toys) and the child pulls with a force of 24 N at an angle of 30 degrees above horizontal (he is pulling mostly horizontally, but some of the force is pulling up). How will the normal force between the box and the ground change when the boy starts pulling?

Problems 1. Three forces act on particle A located at the origin of an x-y coordinate system. Force B acts at 140° from the positive x-axis, and force C acts at 15° from the positive x-axis. The weight acts down with a magnitude of W = 100 kN. Use the equations of equilibrium to determine the magnitudes of B and C such that particle A is in equilibrium. For problems 2-5, consider the following scenario. Equilibrium of a particle: EF=0 XFx=0 and ΣFy=0. Dimensions are: h = 2.5 ft, d₁ = 4.75 ft, and d₂ = 3 ft. Give numeric answers to three significant figures. The load W = 50 lb. d₁ dz A h α W B

In a tug-of-war game on one campus, 15 students pull on a rope at both ends in an effort to displace the central knot t one side or the other. Two students pull with force 198 N each to the right, four students pull with force 94 N each to the left, five students pull with force 60 N each to the left, three students pull with force 160 N each to the right, and one student pulls with force 260 N to the left. Assuming the positive direction to the right, express the net pull on the knot (in N) in terms of the unit vector i. N Fnet = How big is the net pull on the knot (in N)? (Enter the magnitude.) N What direction is the net pull on the knot? O to the right O to the left O The magnitude is zero. Additional Materials Reading

Two forces, F1 and F2, act at a point. F1 has a magnitude of 8.60 N and is directed at an angle of 55.0∘ above the negative x-axis in the second quadrant. F2 has a magnitude of 5.60 N and is directed at an angle of 52.1∘ below the negative x-axis in the third quadrant. a. what are the x and y components of the resultant force? b. What is the magnitude of the resultant force?