In the figure below, a spider is resting after starting to spin its web. The gravitational force on the spider is 0.170 N on the junction of the three strands of silk. The junction is supported by different tension forces in the two strands above it so that the resultant force on the junction is zero. The two sloping strands are perpendicular, and we have chosen the x and y directions to be along them. The tension T, is 0.111 N. T. T, (a) Find the tension T. N. (b) Find the angle the x axis makes with the horizontal. (c) Find the angle the y axis makes with the horizontal.

Two blocks of mass m, = 10 kg and mg =5 kg are connected by a massless string that passes over a pulley as MA shown in the figure. The system is in static equilibrium. There is friction between m, and the inclined surface (30.4). Neglect the friction between the string and the pulley. Determine the static friction force in the system. 10 kg 5.0 kg 37 49.0 N 29.3 N 39.2 N 33.9 N O 9.98 N

(Figure 1)A chandelier with mass m is attached to the ceiling of a large concert hall by two cables. Because the ceiling is covered with intricate architectural decorations (not indicated in the figure, which uses a humbler depiction), the workers who hung the chandelier couldn't attach the cables to the ceiling directly above the chandelier. Instead, they attached the cables to the ceiling near the walls. Cable 1 has tension T, and makes an angle of 0, with the ceiling Cable 2 has tension T and makes an angle of 6, with the ceiling Part A Find an expression for T, the tension in cable 1, that does not depend on T Express your answer in terms of some or all of the variables m, 0,, and 02, as well as the magnitude of the acceleration due to gravity g. You must use parentheses around 0, and 0, when they are used as arguments to any trigonometric functions in your answer. T = Figure Request Answer Submit Provide Feedback Next > Cable 1 Cable 2

(Figure 1)A chandelier with mass m is attached to the ceiling of a large concert hall by two cables. Because the ceiling is covered with intricate architectural decorations (not indicated in the figure, which uses a humbler depiction), the workers who hung the chandelier couldn't attach the cables to the ceiling directly above the chandelier. Instead, they attached the cables to the ceiling near the walls. Cable 1 has tension T₁ and makes an angle of ₁ with the ceiling. Cable 2 has tension T₂ and makes an angle of 02 with the ceiling. Figure Cable 11 Cable 2

The distance between two telephone poles is d = 54.0 m. When a 1.20 kg bird lands on the telephone wire midway between the poles, the wire sags h = 0.206 m.   How much tension (in N) does the bird produce in the wire? Ignore the weight of the wire

In the figure, a 499 kg construction bucket is suspended by a cable A that is attached at O to two other cables B and C, making angles 0₁ = 51.0° and 9₂ = 54.0° with the horizontal. Find the tensions in (a) cable A, (b) cable B, and (c) cable C. (Hint: To avoid solving two equations in two unknowns, position the axes as shown in the figure.) B C 0₂

If the two cords are connected to the vertical cord supporting the 200-kg chandelier. Calculate F_A (Tension A). 60° FA FB 1960 N 200 kg 2000 N 2263.21 N 3125 N 2256.24 N

A person pushing a uniformly-loaded 31.7 kg wheelbarrow of length L with pushing force P is attempting to get it over a step. The maximum horizontal force that the person can apply is P, = 233 N. What is the maximum height h of the step, expressed as a fraction n of the wheel's radius R. that the person can get the wheelbarrow over? The gravitational acceleration is g = 9.81 m/s². 8459 R Incorrect hnR

A person whose mass is m = 104.0 kg steps on a mechanical bathroom scale placed on an inclined plane that makes the angle a = 33.7° with the horizontal. What is the reading on the scale? reading: kg

In the figure, a rectangular slab of slate rests on a bedrock surface inclined at angle 8 = 22.8°. The slab has length L = 48.9 m, thickness T = 6.61 m, and width W = 12.7 m, and 1.0 cm³ of it has a mass of 3.2 g. The coefficient of static friction between slab and bedrock is 0.312. (a) Calculate the component of the gravitational force on the slab parallel to the bedrock surface. (b) Calculate the magnitude of the static frictional force on the slab. By comparing (a) and (b), you can see that the slab is in danger of sliding. This is prevented only by chance protrusions of bedrock. (c) To stabilize the slab, bolts are to be driven perpendicular to the bedrock surface (two bolts are shown). If each bolt has a cross-sectional area of 6.47 cm² and will snap under a shearing stress of 3.59 x 108 N/m², what is the minimum number of bolts needed? Assume that the bolts do not affect the normal force.