Physics for Scientists and Engineers
6th Edition
ISBN: 9781429281843
Author: Tipler
Publisher: MAC HIGHER
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Chapter 12, Problem 38P
To determine
The tension in the support wire and angle from horizontal axis.
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One end of a uniform - 3.60-m-long rod of weight w is supported by a cable at an angle of 6-37° with the rod. The other end rests against a wall, where it is held by friction (see figure). The coefficient of static friction between the wall and the rod is,-0.460. Determine the minimum distance x from point A at which an additional weight w (the same as the weight of the rod) can be
hung without causing the rod to slip at point A
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Chapter 12 Solutions
Physics for Scientists and Engineers
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- A wooden door 2.1 m high and 0.90 m wide is hung by two hinges 1.8 m apart. The lower hinge is 15 cm above the bottom of the door. The center of mass of the door is at its geometric center, and the weight of the door is 260 N, which is supported equally by both hinges. Find the horizontal force exerted by each hinge on the door.arrow_forwardStanding on a Horizontal Beam A uniform horizontal beam with a length of = 9.10 m and a weight of W, = 225N is attached to a wall by a pin connection. Its far end is supported by a cable that makes an angle of = 45.0° with the beam (see figure). A person of weight W,- 650 N stands a distance d = 2.25 m from the wall. Find the tension in the cable as well as the magnitude and direction of the force exerted by the wall on the beam. (a) A uniform beam supported by a cable. A person walks outward on the beam. (b) The force diagram for the beam (c) The force diagram for the beam showing the components of RandT. Rsine Tsin ở Reos e w, Tcos d w, SOLUTION Conceptualize Imagine the person in figure (a) moves outward on the beam. It seems reasonable that the farther he moves outward, the larger the torque he applies about the pivot and the Select the tension in the cable must be to balance this torque. Categorize Because the system is at rest, we categorize the beam as a rigid object -Select-…arrow_forwardOne end of a uniform meter stick is placed against a vertical wall. The other end is held by a lightweight cord that makes an angle ? with the stick. The coefficient of static friction between the end of the meter stick and the wall is 0.400. What is the maximum value thetheta can have if the stick is to remain in equilibrium?arrow_forward
- A uniform ladder 10.0 m long and weighing 50.0 N rests against a smooth vertical wall. (a) If the ladder is just on the verge of slipping when it makes a 50.0° with the ground, find the coefficient of static friction between the ladder and ground. (b) If the coefficient of static friction is 0.360, and the same ladder makes a angle with respect to the horizontal, how far along the length of 60.0° the ladder can a 65-kg painter climb before the ladder begins to slip?arrow_forwardOne and of a uniform 3.30-m-long rod of weight w is supported by a cable at an angle of 8-37 with the rod. The other end rests against a wall, where it is held by friction (see figure). The coefficient of static friction between the wait and the rod is ,-0.525. Determine the minimum distance from point A at which an additional weight w (the same as the weight of the rod) can be hung without causing the rod to slip at point A 275 x Your response differs from the correct answer by more than 10% Double check your calculations, m Subnd Arowerarrow_forwardA uniform ladder of length L and weight w is leaning against a vertical wall. The coefficient of static friction between the ladder and the floor is the same as that between the ladder and the wall. If this coefficient of static friction is μ = 0.435, determine the smallest angle the ladder can make with the floor without slipping. | 0 A 14.0 m uniform ladder weighing 480 N rests against a frictionless wall. The ladder makes a 63.0⁰-angle with the horizontal. (a) Find the horizontal and vertical forces (in N) the ground exerts on the base of the ladder when an 850-N firefighter has climbed 4.10 m along the ladder from the bottom. horizontal force magnitude direction vertical force magnitude direction ---Select--- |---Select--- ✓ N N (b) If the ladder is just on the verge of slipping when the firefighter is 9.40 m from the bottom, what is the coefficient of static friction between ladder and ground? m (c) What If? If oil is spilled on the ground, causing the coefficient of static…arrow_forward
- a vertical uniform beam of length Lthat is hinged at its lower end.A horizontal force F is applied to the beam at distance y from the lower end. The beam remainsvertical because of a cable attached at the upper end, at angle uwith the horizontal. gives the tension T in the cableas a function of the position of the applied force given as a fractiony/L of the beam length.The scale of the T axis is set by Ts= 600 N.Figure 12-49c gives the magnitude Fh of the horizontal force on thebeam from the hinge, also as a function of y/L. Evaluate (a) angle uand (b) the magnitude of .arrow_forwardA beam with length of 2 m and a mass of 10 kg supports a 50 kg box. The beam is connected to a wall by a hinge at its base and a horizontal wire. The wire is connected to the beam 1.5 m from the hinge and makes an angle θ of 35o to the beam. The goal is to find the tension in the wire and the horizontal and vertical components of the force exerted by the hinge on the board. Suppose the maximum tension that the wire can withstand is 1500 N. What is the maximum load that the hinge can support before the wire breaks?arrow_forwardOne end of a uniform meter stick is placed against a vertical wall. The other end is held by a lightweight cord that makes an angle ? with the stick. The coefficient of static friction between the end of the meter stick and the wall is 0.400. When theta = 15.0o , how large must the coefficient of static friction be so that the block can be attached 0.100 [m] from the left end of the stick without causing it to slip?arrow_forward
- The figure shows three boards clamped together. The center board weighs 93.5 N, and the coefficient of static friction between the boards is 0.490. What is the minimum magnitude of the horizontal compression forces (in N) acting on either side of the center board so it does not slip?arrow_forwardA uniform drawbridge must be held at a 38o angle above the horizontal to allow ships to pass underneath. The drawbridge weights 55000 N and is 15.0 m long. A cable is connected 3.5 m from the hinge where the bridge pivots (measured along the bridge) and pulls horizontally on the bridge to hold it in place. What is the tension in the cable? Find the magnitude and direction of the force the hinge exerts on the bridge. If the cable suddenly breaks, what is the magnitude of the angular acceleration of the drawbridge just after the cable breaks? What is the angular speed of the drawbridge as it becomes horizontal? What is the velocity of the drawbridge, just before it “hits” (i.e. goes horizontal)?arrow_forwardSolve Equation (1) for R (in N) and substitute numerical values: R = Finalize The positive value for the angle 0 indicates that our estimate of the direction of R was accurate. Had we selected some other axis for the torque equation, the solution might differ in the details ---Select-- . For example, had we chosen an axis through the center of gravity of the beam, the torque equation would involve both T and R. This equation, coupled with Equations (1) and (2), however, could still be solved for the unknowns. Try it! EXERCISE A person with weight 900 N stands d = 4.00 m away from the wall on a f = 6.00 m beam, as shown in this figure. The weight of the beam is 2,000 N. Define upward as the positive y-direction and to the right as the positive x-direction. 30° d Hint (a) Find the tension (in N) in the wire. (b) Find the horizontal component of the hinge force (in N). (Indicate the direction with the sign of your answer.) (c) Find the vertical component in (N). (Indicate the direction…arrow_forward
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