5. A block of weight w = 100 N is suspended from a rope tied to two other ropes at point O. One rope is horizontally attached to a wall and the other is fastened to the ceiling. The angle between ceiling and the rope is 60°. Assume the weights of the ropes and the knot are negligible. Calculate the tension in each rope (T₁, T2, and T3). I 0 T3 W 60° 11

5. A block of weight w = 100 N is suspended from a rope tied to two other ropes at point O. One rope is horizontally attached to a wall and the other is fastened to the ceiling. The angle between ceiling and the rope is 60°. Assume the weights of the ropes and the knot are negligible. Calculate the tension in each rope (T₁, T2, and T3). I 0 T3 W 60° 11

University Physics Volume 1

18th Edition

ISBN:9781938168277

Author:William Moebs, Samuel J. Ling, Jeff Sanny

Publisher:William Moebs, Samuel J. Ling, Jeff Sanny

Chapter5: Newton's Law Of Motion

Section: Chapter Questions

Problem 59P: (a) Calculate the tension in a vertical strand of spider web if a spider of mass 2.00105kg hangs...

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(a) Calculate the tension in a vertical strand of spider web if a spider of mass 2.00105kg hangs motionless on it. (b) Calculate the tension in a horizontal strand of spider web if the same spider sits motionless in the middle of it much like the tightrope walker in Figure 5.26. The strand sags at an angle of 12 below the horizontal. Compare this with the tension in the vertical strand (find their ratio).
A filled treasure chest (m = 375 kg) with a long rope tied around its center lies in the middle of a room. Dirk wishes to drag the chest, but there is friction between the chest and the floor with s = 0.52. If the angle between the rope and the floor is 30.0, what is the magnitude of the tension required to just get the chest moving?
A 0.400-kg pendulum bob passes through the lowest part of its path at a speed of 3.00 m/s. (a) What is the tension in the pendulum cable at this point if the pendulum is 80.0 cm long? (b) When the pendulum reaches its highest point, what angle does the cable make with the vertical? (c) What is the tension in the pendulum cable when the pendulum reaches its highest point?
Consider the baby being weighed in Figure 4.34. (a) What is the mass of the child and basket if a scale reading of 55 N is observed? (b) What is the tension T1 in the cord attaching the baby to the scale? (c) What is the tension T2 in the cord attaching the scale to the ceiling, if the scale has a mass of 0.500 kg? (d) Draw a sketch of the situation indicating the system of interest used to solve each part. The masses of the cords are negligible.
(a) What is the maximum frictional force in the knee joint of a person who supports 66.0 kg of her mass on that knee? (b) During strenuous exercise it is possible to exert forces to the joints that are easily ten times greater than the weight being supported. What is the maximum force of friction under such conditions? The frictional forces in joints are relatively small in all circumstances except when the joints deteriorate, such as from injury or arthritis. Increased frictional forces can cause further damage and pain.
In Problem 10, the mass of the sign is 25.4 kg, and the mass of the potted plant is 66.7 kg. a. Assuming the objects are in equilibrium, determine the magnitude of the static friction force experienced by the potted plant. b. What is the maximum value of the static friction force if the coefficient of static friction between the pot and the roof is 0.572?
A bag of cement weighing 325 N hangs in equilibrium from three wires as suggested in Figure P5.33. Two of the wires make angles 1 = 60.0 and 2 = 40.0 with the horizontal. Assuming the system is in equilibrium, find the tensions T1, T2 and T3 in the wires. Figure P5.33 Problems 33 and 34.
What is T?
8. A block is at rest on a rough inclined plane and is connected to an object with the same mass as shown. The rope may be considered massless; and the pulley may be considered frictionless. The coeffi- cient of static friction between the block and the plane is us; and the coefficient of kinetic friction is k 0 A. g D. g - Hk sin(0) m a. What is the magnitude of the static frictional force acting on the block? B.m g [1 - sin(0)] C. mg D. mg cos(0) B. g - Hk cos(0) A. m g sin(0) E. mg [1 - cos(0)] b. If the rope were cut between the block and the pulley, what would be the magnitude of the acceleration of the block down the plane? C. g [sin(0) - μ cos(0)] sin(0)] c. If the mass of the suspended object is doubled, what will be the acceleration of the block up the plane? B. g [2 tan(0) - uk sin(0)] D. 2g [μ sin(0) - cos(0)] m E. g [tan (0) A. g [2 - μk sin(0)] C. g [2 cos(0) - μ sin(0)] E. g [2 sin(0) Hk Cos (0)]. -
Situation 2. A 500 N block is resting on an inclined plane. See figure below. coefficient of static friction, Hs 0.3, coefficient of kinetic friction, Hx = 0.2 P. s = 0.3 fn = 0.2 0=30° 7. Find the value P that will still make the block in equilibrium condition. а. 382 N b. 71 N с. 110 N d. 279 N
2. A 2 kg box is suspended in the air. Attached to each corner of the box is a rope. All 4 ropes are the same length and are attached to 1 point in the ceiling. Draw the FBD of the box and find all the forces acting on it. 3 A 1 5 00-kg car starts from rest and takes 10s to reach a sneed of
left end. What is the tension in the right hand side wire?(g "s2) 4. A 120 kg scaffold is 5.60 m long. It is hanging with two wires, one from each end. A 460 kg box sits 2.20 m from th Newtons f60 sf60 ssic 60 ssf60