I.Problem Solving. Show all necessary solutions and include Free body diagram.1. A load of 100 lb is hung from the middle of a rope, which is stretchedbetween two rigid walls 30 ft. apart. Due to the load, the rope sags 4 feet in themiddle. Determine the tension in the rope.A. 165 IbsB. 173 IbsC. 194 IbsD. 149 Ibs2. Given 3 vectors: Vector 1 is 500N at 30°, Vector 2 is 300N at 150° andVector 3 is 400N at 270°, what is the magnitude of the resultant vector?A.137.21 NB. 143.71NC. 173.21ND. 177.31N3. A 10-kg box is being pulled by a 50-N force that is inclined at 20° withrespect to the horizontal. What is the component of the force that is parallel withthe surface in which the box is being pulled?A. 17.10NB. 27.10NC. 36.98ND. 46.98N 4. A box with a mass of 300kg on top of an inclined plane (with an angle to thehorizontal of 30°) is held in place by a horizontal rope attached to a wall. Whatis the tension required in the rope to keep the box from moving?A. 1700NB. 2150NC. 2750ND. 3400N5. A block weighs 100kg and is resting on a plane that is incline to thehorizontal at an angle of 20°. What is the force that tends to move the blockdown the plane?А. 336 NВ. 632NС. 922ND. 982NFor question no. 6, 7, and 8 refer to the figure below.4006. A 400KN block is resting on a rough horizontal surface for which thecoefficient of friction is 0.40. Determine the force P required to cause motion toimpend if applied to the block Horizontally.

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1. A load of 100 lb is hung from the middle of a rope, which is stretched between two rigid walls 30 ft. apart. Due to the load, the rope sags 4 feet in the middle. Determine the tension in the rope. А. 165 lbs В. 173 lbs C. 194 Ibs D. 149 Ibs

1. A load of 100 lb is hung from the middle of a rope, which is stretched between two rigid walls 30 ft. apart. Due to the load, the rope sags 4 feet in the middle. Determine the tension in the rope. А. 165 lbs В. 173 lbs C. 194 Ibs D. 149 Ibs

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ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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Concept explainers

Mechanical Properties of Solids

There are three types of matter- solid, liquid and gas. Out of them, solids have a rigid shaped and size. The intermolecular forces of attractions in solids are greatest. Mechanical properties are the physical properties of a material which it shows, when it is provided with certain amount of force or load. These properties are to be kept in mind for various purposes. When a force is applied to an object, the object may or may not get deformed depending upon its elastic property. But every time the object develops a restoring force against the force applied. This is commonly known as stress. If the object changes its dimensions due to the force applied it develops strain ( which is the ratio of change in dimension to the original dimension).

Question

I.
Problem Solving. Show all necessary solutions and include Free body diagram.
1. A load of 100 lb is hung from the middle of a rope, which is stretched
between two rigid walls 30 ft. apart. Due to the load, the rope sags 4 feet in the
middle. Determine the tension in the rope.
A. 165 Ibs
B. 173 Ibs
C. 194 Ibs
D. 149 Ibs
2. Given 3 vectors: Vector 1 is 500N at 30°, Vector 2 is 300N at 150° and
Vector 3 is 400N at 270°, what is the magnitude of the resultant vector?
A.137.21 N
B. 143.71N
C. 173.21N
D. 177.31N
3. A 10-kg box is being pulled by a 50-N force that is inclined at 20° with
respect to the horizontal. What is the component of the force that is parallel with
the surface in which the box is being pulled?
A. 17.10N
B. 27.10N
C. 36.98N
D. 46.98N

4. A box with a mass of 300kg on top of an inclined plane (with an angle to the
horizontal of 30°) is held in place by a horizontal rope attached to a wall. What
is the tension required in the rope to keep the box from moving?
A. 1700N
B. 2150N
C. 2750N
D. 3400N
5. A block weighs 100kg and is resting on a plane that is incline to the
horizontal at an angle of 20°. What is the force that tends to move the block
down the plane?
А. 336 N
В. 632N
С. 922N
D. 982N
For question no. 6, 7, and 8 refer to the figure below.
400
6. A 400KN block is resting on a rough horizontal surface for which the
coefficient of friction is 0.40. Determine the force P required to cause motion to
impend if applied to the block Horizontally.

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