Concept explainers
(a)
The tension in the three strands of the cord.
(a)
Answer to Problem 36P
The tensions in the three strands of the cord are
Explanation of Solution
The tension forces acting on the wires due to the load hanging from the wires is as shown below.
Write the expression for the tension
Here,
The tension force
In static equilibrium the forces acting on the particular point are balanced.
Write the expression for the force balancing in the X-direction as.
Rearrange the above equation for
Here,
Write the expression for the force balancing in Y-direction as.
Substitute
Rearrange the above equation for
Conclusion:
Substitute
Substitute
Substitute
Thus, the tensions in the three strands of the cord are
(b)
The tension in the three strands of the cord.
(b)
Answer to Problem 36P
The tensions in the three strands of the cord are
Explanation of Solution
The tension forces acting on the wires due to the load hanging from the wires is as shown below.
Write the expression for the tension
Here,
The tension force
In static equilibrium the forces acting on the particular point are balanced.
Write the expression for the force balancing in the X-direction as.
Here,
Write the expression for the force balancing in Y-direction as.
Conclusion:
Substitute
Substitute
Substitute
Thus, the tensions in the three strands of the cord are
Want to see more full solutions like this?
Chapter 5 Solutions
Physics: for Science.. With Modern. -Update (Looseleaf)
- Figure P4.26 shows loads hanging from the ceiling of an elevator that is moving at constant velocity. Find the tension in each of the three strands of cord supporting each load. Figure P4.26arrow_forwardA crate of weight Fg is pushed by a force P on a horizontal floor as shown in Figure P5.45. The coefficient of static friction is s, and P is directed at angle below the horizontal. (a) Show that the minimum value of P that will move the crate is given by P=sFgsec1stan Figure P5.45 (b) Find the condition on in terms of s, for which motion of the crate is impossible for any value of P.arrow_forwardA heavy chandelier with mass 125 kg is hung by chains in equilibrium from the ceiling of a concert hall as shown in Figure P5.77, with 1 = 37.0 and 2 = 64.0. Assuming the chains are massless, what are the tensions FT1, FT2, and FT3 in the three chains? FIGURE P5.77arrow_forward
- What horizontal force must be applied to a large block of mass M shown in Figure P5.49 so that the tan blocks remain stationary relative to M? Assume all surfaces and the pulley are frictionless. Notice that the force exerted by the string accelerates m2. Figure P5.49 Problems 49 and 53arrow_forward(a) What is the resultant force exerted by the two cables supporting the traffic light in Figure P4.75? (b) What is the weight of the light? Figure P4.75arrow_forwardFind an expression for the carts acceleration in Figure P5.18 in terms of the balls mass m and the angle .arrow_forward
- A bag of cement whose weight is Fg hangs in equilibrium from three wires as shown in Figure P5.18. Two of the wires make angles 1 and 2 with the horizontal. Assuming the system is in equilibrium, show that the tension in the left-hand wire is T1=Fgcos2sin(1+2) Figure P5.18arrow_forwardA 9.00-kg hanging object is connected by a light, inextensible cord over a light, frictionless pulley to a 5.00-kg block that is sliding on a flat table (Fig. P5.7). Taking the coefficient of kinetic friction as 0.200, find the tension in the string. Figure P5.7arrow_forwardTwo objects, m1 = 3.00 kg and m2 = 8.50 kg, are attached by a massless cord passing over a frictionless pulley as shown in Figure P5.51. Assume the horizontal surface is frictionless. a. Draw a free-body diagram for each of the two objects. b. What is the tension in the cord? c. What is the magnitude of the acceleration of the two objects? FIGURE P5.51 Problems 51 and 65.arrow_forward
- Three crates with masses m1 = 5.45 kg, m2 = 7.88 kg, and m3 = 4.89 kg are in contact on a frictionless surface. A horizontal force F = 205 N is applied to the third crate as shown in Figure P5.83. a. What is the magnitude of the contact force between crates 1 and 2? b. What is the magnitude of the contact force between crates 2 and 3? FIGURE P5.83arrow_forwardTwo blocks, each of mass m, are hung from the ceiling of an elevator as in Figure P5.43. The elevator has an upward acceleration a. The strings have negligible mass. (a) Kind the tensions T1 and T2 in the upper and lower strings in terms of m, a. and g. (b) Compare the two tensions and determine which string would break first if a is made sufficiently large. (c) What are the tensions if the cable supporting the elevator breaks?arrow_forwardA crate of weight Fg is pushed by a force P on a horizontal floor as shown in Figure P4.83. The coefficient of static friction is s, and P is directed at angle below the horizontal. (a) Show that the minimum value of P that will move the crate is given by P=sFgsec1stan (b) Find the condition on in terms of , for which motion of the crate is impossible for any value of P. Figure P4.83arrow_forward
- Principles of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningPhysics for Scientists and Engineers: Foundations...PhysicsISBN:9781133939146Author:Katz, Debora M.Publisher:Cengage LearningCollege PhysicsPhysicsISBN:9781285737027Author:Raymond A. Serway, Chris VuillePublisher:Cengage Learning
- Physics for Scientists and Engineers, Technology ...PhysicsISBN:9781305116399Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningCollege PhysicsPhysicsISBN:9781305952300Author:Raymond A. Serway, Chris VuillePublisher:Cengage LearningPhysics for Scientists and Engineers with Modern ...PhysicsISBN:9781337553292Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning