9-15. A smooth rope is placed above a hole in a table (Figure 9-D). One end of the rope falls through the hole at t = the velocity and acceleration of the rope as a function of the distance to the end of the rope x. Ignore all friction. The total length of the rope is L. 0, pulling steadily on the remainder of the rope. Find FIGURE 9-D Problem 9-15.
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![9-15. A smooth rope is placed above a hole in a table (Figure 9-D). One end of the rope
falls through the hole at t=0, pulling steadily on the remainder of the rope. Find
the velocity and acceleration of the rope as a function of the distance to the end of
the
rope x. Ignore all friction. The total length of the rope is L.
FIGURE 9-D Problem 9-15.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F01bbc777-5480-4bf0-9822-0331efe0999c%2F4a25e7a4-48e2-4e15-ae90-e44296c37869%2Fnoeewo_processed.jpeg&w=3840&q=75)
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- B h = 150 cm x = 50 cm L = 95 cm Mass = 0.8 kg at point G (so MMI = mL^2 about point A) At what acceleration (in m/s^2) will the object lift off the wall?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…An elastic rope is stretched between the tops of two identical posts. A man is to walk along the elastic rope. When the man is at the middle of the elastic rope, the tension in the elastic rope is 2220 N. Each half of the elastic rope makes an angle of 8.00with respect to the horizontal. Find the weight of the man.
- A small box of mass m1m1 is sitting on a board of mass m2m2 and length LL (Figure 1). The board rests on a frictionless horizontal surface. The coefficient of static friction between the board and the box is μsμs μsμs Throughout the problem, use gg for the magnitude of the free-fall acceleration. In the hints, use ff for the magnitude of the friction force between the board and the box. Find Fmin, the constant force with the least magnitude that must be applied to the board in order to pull the board out from under the the box (which will then fall off of the opposite end of the board) Express your answer in terms of some or all of the variables μsμs m1m1 m2m2 g L Do not include ff in your answer.A basket of flowers of mass 3 kg is placed on a flat grassy slope that makes an angle θ with the horizontal. The coefficient of static friction between the basket and the slope is 0.45 and the basket is on the point of slipping down the slope. Model the basket of flowers as a particle and the grassy slope as a plane. Take the magnitude of the acceleration due to gravity, g, to be 9.8 m s−2 . State the forces that act on the basket. Draw a force diagram showing them, defining the symbols that you use to represent the forces and marking the sizes of the angles to show the directions of the forces. Take the unit vector i to point up the slope and the unit vector j to point upwards and perpendicular to the slope. Add these unit vectors to your force diagram.A small box with a weight of 35.0 N is placed on top of a larger box that has a weight of 80.0 N. The system of two boxes is at rest on a horizontal surface (the larger box is in contact with the surface). You apply an additional downward force of 30.0 N to the top of the small box by resting your hand on it. For this problem, use g = 10 N/kg. (a) What is the magnitude of the force exerted on the large box by the small box? (b) What is the magnitude of the force exerted on the large box by the surface? Now, imagine that the horizontal surface is the floor of an elevator, and the boxes are in the elevator, which has an acceleration directed downward of 1.00 m/s?. (c) What is the magnitude of the force exerted on the large box by the small box in this case? (d) What is the magnitude of the force exerted on the large box by the surface in this case? N
- A person is pushing a wheelbarrow along a ramp that makes an angle a = 23.0° with the horizontal. The wheelbarrow and load have a combined mass of m = 28.85 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 orientation? Assume that the radius of the wheel is small enough to ignore. Use g = 9.81 m/s². total force: NA 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/secondThis force can either push the block upward at a constant velocity or allow it to slide downward at a constant velocity. The magnitude of the force is different in the two cases, while the directional angle θ is the same. Kinetic friction exists between the block and the wall, and the coefficient of kinetic friction is 0.320. The weight of the block is 50.0 N, and the directional angle for the force F→ is θ = 49.0°. Determine the magnitude of F→ when the block slides (a) up the wall and (b) down the wall.
- B 60° Figure 3 L A 5. A beam AB of length 10m and negligible mass leans against a wall at an angle of 60° to the horizontal. It is held at B by a string as shown. There is no friction at either of the ends A or B. A koala of mass M = 10 kg climbs up the beam from B. If the breaking tension of the string is 40 N, find the distance reached by the koala just before the string cannot support any more weight and breaks.A block of mass m rests on a plane inclined an angle with the horizontal. A spring with force constant k is attached to the block. The coefficient of static friction between the block and plane is s. The spring is pulled upward along the plane very slowly. (a) What is the extension of the spring the instant the block begins to move? (b) The block stops moving just as the extension of the contracting spring reaches zero. Express k (the kinetic coefficient of friction) in terms of s and .