Physics for Scientists and Engineers
6th Edition
ISBN: 9781429281843
Author: Tipler
Publisher: MAC HIGHER
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Chapter 12, Problem 21P
To determine
To Find:The force exerted by each plane on the cylinder.
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(c) Find the vertical force exerted on the base of the rod. Ignore the weight of the rod. magnitude _____ N direction _____ upwards or downward?
Standing 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-…
One end of a uniform { = 4.30-m-long rod of weight w is supported by a cable at an angle of 0 = 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 µ. = 0.490. 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.
B
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Chapter 12 Solutions
Physics for Scientists and Engineers
Ch. 12 - Prob. 1PCh. 12 - Prob. 2PCh. 12 - Prob. 3PCh. 12 - Prob. 4PCh. 12 - Prob. 5PCh. 12 - Prob. 6PCh. 12 - Prob. 7PCh. 12 - Prob. 8PCh. 12 - Prob. 9PCh. 12 - Prob. 10P
Ch. 12 - Prob. 11PCh. 12 - Prob. 12PCh. 12 - Prob. 13PCh. 12 - Prob. 14PCh. 12 - Prob. 15PCh. 12 - Prob. 16PCh. 12 - Prob. 17PCh. 12 - Prob. 18PCh. 12 - Prob. 19PCh. 12 - Prob. 20PCh. 12 - Prob. 21PCh. 12 - Prob. 22PCh. 12 - Prob. 23PCh. 12 - Prob. 24PCh. 12 - Prob. 25PCh. 12 - Prob. 26PCh. 12 - Prob. 27PCh. 12 - Prob. 28PCh. 12 - Prob. 29PCh. 12 - Prob. 30PCh. 12 - Prob. 31PCh. 12 - Prob. 32PCh. 12 - Prob. 33PCh. 12 - Prob. 34PCh. 12 - Prob. 35PCh. 12 - Prob. 36PCh. 12 - Prob. 37PCh. 12 - Prob. 38PCh. 12 - Prob. 39PCh. 12 - Prob. 40PCh. 12 - Prob. 41PCh. 12 - Prob. 42PCh. 12 - Prob. 43PCh. 12 - Prob. 44PCh. 12 - Prob. 45PCh. 12 - Prob. 46PCh. 12 - Prob. 47PCh. 12 - Prob. 48PCh. 12 - Prob. 49PCh. 12 - Prob. 50PCh. 12 - Prob. 51PCh. 12 - Prob. 52PCh. 12 - Prob. 53PCh. 12 - Prob. 54PCh. 12 - Prob. 55PCh. 12 - Prob. 56PCh. 12 - Prob. 57PCh. 12 - Prob. 58PCh. 12 - Prob. 59PCh. 12 - Prob. 60PCh. 12 - Prob. 61PCh. 12 - Prob. 62PCh. 12 - Prob. 63PCh. 12 - Prob. 64PCh. 12 - Prob. 65PCh. 12 - Prob. 66PCh. 12 - Prob. 67PCh. 12 - Prob. 68PCh. 12 - Prob. 69PCh. 12 - Prob. 70PCh. 12 - Prob. 72PCh. 12 - Prob. 73PCh. 12 - Prob. 74PCh. 12 - Prob. 75PCh. 12 - Prob. 76P
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- One end of a uniform l = 3.80 m long rod of weight supported by an angle of theta = 37 degrees with the rod. The other end rests against a wall, where held by friction (se ). coefficient of static friction between the wall and rod mu i =0.575 Determine the minimum distance from an additional welght (same the weight of the rod) can hung without causing the rod to point a.arrow_forwardA uniform ladder of length L and weight w is leaning against avertical wall. The coefficient of static friction between the ladderand the floor is the same as that between the ladder andthe wall. If this coefficient of static friction is μs = 0.500, determinethe smallest angle the ladder can make with the floorwithout slipping.arrow_forwardDetermine the magnitude P of the vertical force re- quired to lift the wheelbarrow free of the ground at point B. The combined weight of the wheelbarrow and its load is 240 lb with center of gravity at G. A 24" 20" B 19" 21" 8"arrow_forward
- A long, uniform 2 kg rod of length 1.8 m is supported at the left end by a horizontal axis into the page and perpendicular to the rod, as shown. The right end is connected to the ceiling by a thin vertical thread so that the rod is horizontal. Thread 1.8 m Horizontal Аxis 2 kg Determine the magnitude of the force ex- erted on the rod by the axis. The acceleration of gravity is 9.8 m/s² , and the moment of in- ertia of the rod about the axis at the end of the rod is 3 Answer in units of N.arrow_forwardA uniform sign of weight Fg and width 2L hangs from a light, horizontal beam hinged at the wall and supported by a cable (as shown). Determine (a) the tension in the cable and (b) the components of the reaction force exerted by the wall on the beam in terms of Fg , d, L, and θ.arrow_forwardA ladder of length 3.00m and mass 25.00 kg leans against a smooth vertical wall so that the angle between the horizontal ground and the ladder is 52.50°. Find the magnitudes of the friction and the normal reaction forces that act on the ladder if it's in equilibriumarrow_forward
- Solve 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_forwardDetermine the magnitude P of the vertical force required to lift the wheelbarrow free of the ground at point B. The combined weight of the wheelbarrow and its load is 222 Ib with center of gravity at G. P A G 26" 23" B 15" 18" 9" Ib Answer: P =arrow_forwardOne end of a uniform 3.40-m-long rod of weight F, is supported by a cable at an angle of 637° with the rod. The other end rests against the wall, where it is held by friction as shown in the figure below. The coefficient of static friction between the wall and the rod is ,-0.565. Determine the minimum distance x from point A at which an additional object, also with the same weight can be hung without causing the rod to slip at point A.arrow_forward
- End A of a slender, uniform rod of length L and weight W bears on a surface as shown, while end B is supported by a cord BC Knowing that the coefficients of friction are µs = 0.40 and µk = 0.30, determine (a) the largest value of 6 for which motion is impending, (b) the corresponding value of the tension in the cord.arrow_forwardA horizontal beam weighs 451 N, and its center of gravity is at its center. Find the vertical component of the force exerted on the beam at the wall.arrow_forwardOne end of a 2.00 m uniform meter stick is placed against a vertical wall. The other end is held by a lightweight cord that makes an angle θ with the stick. The coefficient of static friction between the end of the meter stick and the wall is 0.530. A block of the same weight as the stick is suspended on it at adistance ? from the wall as shown. Assume that θ = 16.5° in this part ofthe problem. What is the minimum value of x for which the stick willremain in equilibrium?arrow_forward
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