calculate the tension in the string and the reaction at the hinge. Describe an experiment to verify the law of conservation of linear momentum
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A trap door 120 cm by 120 cm is kept horizontal by a string attached to the mid-point of the side opposite to that containing the hinge. The other end of the string is tied to a point 90 cm vertically above the hinge. If the trap-door weight is 50 N, calculate the tension in the string and the reaction at the hinge. Describe an experiment to verify the law of conservation of linear momentum
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- Body U with mass 5m is stacked on the top body W with mass m, and released. The bodies are in contact along the frictionless interface at 45° to the vertical. The body U is in contact with the frictionless vertical wall. Body W lies on the floor with coefficient of friction u. Relevant dimensions are shown in the figure. Express the results in terms of given quantities: m, g, h and µ (except when µ is given numerically). You need not evaluate sin 45° = cos 45° = 2/2. h U: 5m C 45 D W: m 3hIn the figure, a nonuniform bar is suspended at rest in a horizontal position by two massless cords as shown in the figure here. One cord makes the angle 0 3.9 m, compute the distance x from the left end of the bar to its center of mass. 36.3° with the vertical; the other makes the angle p = 53.7° with the vertical. If the length L of the bar is com Use correct number of significant digits; the tolerance is +/-2%A solid uniform 45-kg ball of diameter 32.0 cm is supported against a vertical, frictionless wall with a string of length 30.0 cm as shown below. Find the tension in the string.
- As shown below, on Venus a beam of length L is leaning against a frictionless wall and is in static equilibrium. The center of mass of the beam is located 0.6L from the lower end of the beam and the wall is exerting a force of 4 N on the beam. 0.6 L ● 79° Determine the beam's mass and the minimum coefficient of static friction between the floor and the beam. beam's mass = Hs, min = fr n. o theA 15 N horizontal force F→ pushes a block weighing 3.7 N against a vertical wall (see the figure). The coefficient of static friction between the wall and the block is 0.61, and the coefficient of kinetic friction is 0.42. Assume that the block is not moving initially. (a) Will the block move? ("yes" or "no") (b) In unit-vector notation Fxî+Fyĵ, what is the force on the block from the wall?(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 W2
- A uniform beam of mass m is inclined at an angle θ to the horizontal. Its upper end (point P) produces a 90° bend in a very rough rope tied to a wall, and its lower end rests on a rough floor (as shown). Let μs represent the coefficient of static friction between beam and floor. Assume μs is less than the cotangent of θ. (a) Find an expression for the maximum mass M that can be suspended from the top before the beam slips. Determine (b) the magnitude of the reaction force at the floor and (c) the magnitude of the force exerted by the beam on the rope at P in terms of m, M, and μs.Please help meThe frame is made from uniform rod which has a mass p per unit length. A smooth recessed slot constrains the small rollers at A and B to travel horizontally. Force P is applied to the frame through a cable attached to an adjustable collar C. Determine the magnitudes and directions of the normal forces which act on the rollers if (a) h = 0.24L, (b) h = 0.50L, and (c) h = 0.91L. The forces will be positive if up, negative if down. Evaluate your results for p = 1.8 kg /m, L = 575 mm, and P = 48 N. What is the acceleration of the frame in each case? (a) Answers: (b) L (c) A h = 0.24L: h = 0.50L: h = 0.91L: L A = A A = B i i i P B N₁ B N, B N, i i N₁ª N,9 N₁9 i i m/s m/s m/s
- The figure (Figure 1) shows a model of a crane that may be mounted on a truck. A rigid uniform horizontal bar of mass m₁ = 100 kg and length L = 5.40 m is supported by two vertical massless strings. String A is attached at a distance d = 2.00 m from the left end of the bar and is connected to the top plate. String B is attached to the left end of the bar and is connected to the floor. An object of mass m2 = 3500 kg is supported by the crane at a distance = 5.20 m from the left end of the bar. Throughout this problem, positive torque is counterclockwise and use 9.80 m/s² for the magnitude of the acceleration due to gravity. Figure B String A m/ 1 of 1 m₂ Part A Find TA, the tension in string A. Express your answer in newtons using three significant figures. ►View Available Hint(s) TA = Submit Part B X Incorrect; Try Again Your answer has dimensions of torque, not force. 17 ΑΣΦ TB = Previous Answers Submit Find TB, the magnitude of the tension in string B. Express your answer in newtons…You are asked to construct a mobile with four equal m = 185 kg masses, and three light rods of negligible mass and equal lengths. The rods are of length 55 cm. (a) At what location on the level 1 rod should the free end of rod 2 be attached?L1 = (b) At what location on the level 2 rod should the free end of rod 3 be attached?L2 = (c) At what location on the level 3 rod should the whole assembly be suspended from so that the mobile is in equilibrium?L3 =A 11 N horizontal force F→ pushes a block weighing 4.1 N against a vertical wall (see the figure). The coefficient of static friction between the wall and the block is 0.56, and the coefficient of kinetic friction is 0.49. Assume that the block is not moving initially. (a) Will the block move? ("yes" or "no") (b) In unit-vector notation Fxî+Fyĵ, what is the force on the block from the wall?