To measure the static friction coefficient betwee
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To measure the static friction coefficient between a 4.93-kg block and a vertical wall, the setup shown in the drawing is used. A spring (spring constant = 521 N/m) is attached to the block. Someone pushes on the end of the spring in a direction perpendicular to the wall until the block does not slip downward. If the spring in such a setup is compressed by 0.0524 m, what is the coefficient of static friction?
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- If the coefficient of friction between the steel wedge and the moist fibers of the newly cut stump is 0.25, determine the maximum angle a which the wedge may have and not pop out of the wood after being driven by the sledge. Answer: a = i 0You are working in an ice skating rink and have been asked to hang a new banner on the wall. Your friend is helping you so that the ladder does not collapse by exerting a force F_AL at an angle ϕ relative to the horizontal. The ladder has a length L and makes an angle of θ with respect to the vertical wall. You have a mass, m_Y, and are a horizontal distance x from the wall. The ladder has a mass of m_L. Because the wall is slick, and the ice on the floor is slick, the frictional forces acting on the ladder are negligible. Find a formula for the magnitude of the force that your friend must exert to keep the ladder from falling, in terms of the following variables: x,L,m_Y,m_L,θ,ϕ. Then use the following values to get a number for the magnitude of F_AL. θ = 30.3 degrees ϕ = 23.028 degrees x = 1.491 meters L = 7.1 meters m_Y = 86.0 kg m_L = 42.14 kg Find the magnitudes of: F_AL, normal force of the wall on the ladder (N_WL), and normal force of the floor on the ladder (N_FL).A 1.80 kg box rests on a plank that is inclined at an angle of 62.0° above the horizontal. The upper end of the box is attached to a spring with a force constant of 24.0 N/m. If the coefficient of static friction between the box and the plank is 0.30, what is the maximum amount the spring can be stretched and the box remain at rest?
- The human mandible (lower jaw) is attached to the temporomandibular joint (TMJ). The masseter muscle is responsible for pulling the mandible upward when you are talking or eating. It is attached at a horizontal distance of about 2.70 cm from the TMJ. The horizontal distance from the TMJ to your incisors is 6.60 cm. If the masseter muscle exerts a force of 182 N on your mandible when you bite into an apple at a constant rate, then what is the magnitude of the force exerted by your incisors on your food, assuming that both forces are vertical?The block shown in (Figure 1) has a mass of m = 100 kg, a height H = 1.4 m, and width L = 2 m. It is resting on a ramp that makes an angle = 38 ° 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 μ = 0.38, and the center of mass of the block is at the center of the rectangle. Figure Att P H ( y N F x 2 of 2 Part D Use the free-body diagram shown in (Figure 2) and write the equilibrium equation for the moments about the point of contact. Express your answer in terms of one or more of P, W, H, L, N, F, and 0. Σ Μo = 0 = Submit Part E Ptip= Submit Part F 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. CHA Pmax = IVE ΑΣΦΠ 1 Submit Request Answer Value Provide Feedback Request…You are a member of an alpine rescue team and must get a box of supplies, with mass 2.10 kg, up an incline of constant slope angle 30.0° so that it reaches a stranded skier who is a vertical distance 2.90 m above the bottom of the incline. There is some friction present; the kinetic coefficient of friction is 6.00×10-2. Since you can't walk up the incline, you give the box a push that gives it an initial velocity; then the box slides up the incline, slowing down under the forces of friction and gravity. Take acceleration due to gravity to be 9.81 m/s². Part A Use the work-energy theorem to calculate the minimum speed that you must give the box at the bottom of the incline so that it will reach the Express your answer numerically, in meters per second. ► View Available Hint(s) V= ΕΠΙΑΣΦΑ A20 ^ ? m/s
- A uniform 25kg bar, 6.0m long is suspended by a cord shown. What is the tension in the cord? wall cord 27° -6.0 m- 3.7 x 102 N 02.7 x 10² N 1.2 x 10² N 5.4 x 10² NA person is pushing a wheelbarrow along a ramp that makes an angle a = 43.0° with the horizontal. The wheelbarrow and L load have a combined mass of m = 26.60 kg with the center of mass at the midpoint of the length L. What is the Fx magnitude of the net force Fnet that the person must apply in order to push the wheelbarrow up the ramp at a constant velocity, while keeping the wheelbarrow in a level, horizontal Ja. orientation? Assume that the radius of the wheel is small enough to ignore. Use g = 9.81 m/s². 260.7 total force: IncorrectExample E: Two identical strings are hung from a horizontal support as shown. A block of mass 5.0 kg is suspended from the pair of springs. When the block is in equilibrium, each spring stretches 10 cm. What is the force constant of each spring? wwwwwww 5.0 kg
- A laboratory on the concept of static equilibrium uses an apparatus called a force table. The force table consists of a round, level platform marked in degree increments about its circumference. In the center of the table sits a massless ring, to which three strings are tied. Each string is strung over a m, separate pulley clamped to the edge of the platform, and then tied to a freely-hanging mass, so that each string is under tension and the ring is suspended parallel to the table surface. m2 m2 A mass of m1 = 0.153 kg is located at 0, 28.5°, and a %3D second mass of m2 = 0.211 kg is located at 02 295°. %3D Calculate the mass m3 and the angular position 03 (in degrees) that will balance the system and hold the ring stationary over the center of the platform. kg m3 = 03 =si 9. A 1.65 kg box rests on a plank that is inclined at an angle of 68.0° above the horizontal. The upper end of the box is attached to a spring with a force constant of 18.0 N/m, as shown in the figure. If the coefficient of static friction between the box and the plank is 0.28, what is the maximum amount the spring can be stretched and the box remain at rest? m f60 ssf60 ssico ss$60 ssf60** ssf60 ssf60 ssf60 ssf60 ssfossf60 ssf bood ssf60 ssf60 ss ] …………¶¶¶õõ‰¶¶¶¯¯¯ ¶ 50 ssf60 s f60 ssf60 ssf60 ss£60 SS sf60160 ssf60 ssf60 ssf60ain f60 sf60 ssf60 ssf60 ssf60 ƒ60 ssf60 ssf60 ssfTwo identical, side-by-side springs with spring constant 240 N/m support a 2.00 kg hanging box. Each spring supports the same weight. By how much is each spring stretched?