**Problem 1:**The illustration presents a scenario where a safe with mass \( M = 450 \, \text{kg} \) is suspended by a massless rope. This rope hangs from a frame composed of a uniform hinged beam \( (m = 80 \, \text{kg}) \) and a horizontal cable of negligible mass. The frame has a known side \( a = 2.0 \, \text{m} \) and an unknown side \( b \).The reaction force at the hinge is measured to be \( R = 7810 \, \text{N} \), directed upward and to the right. The task is to determine the length of side \( b \).To find \( b \), apply the concepts of equilibrium as discussed in Chapter 11. Trigonometry and the angle \( \theta \) are not to be used in deriving the value of \( b \).**Diagram Explanation:**- **Hinge Position:** A vertical support is shown on the left with the hinge at its base.- **Beam:** Diagonally positioned from the hinge, indicating the center of mass.- **Cable:** Extends horizontally from the vertical support to the upper end of the beam.- **Rope:** Hangs vertically from the beam's end, suspending the safe.- **Dimensions:** - \( a \) is defined as the vertical side from the hinge to the top of the support. - \( b \) represents the horizontal reach from the support to the beam's end where the cable is attached.- **Forces and Angles:** - The reaction force \( R \) at the hinge and angle \( \theta \) where the cable meets the diagonal beam are illustrated.This problem involves analyzing forces and equilibrium without utilizing certain mathematical tools, encouraging a deeper understanding of mechanical concepts.

The three conditions for equilibrium are, 1. Net torque should be zero. Στ=0 2. Net forces in the…

Problem 1: The figure below shows a safe of mass M = 450 kg hanging by a negligible mass rope hanging from a frame that consists of a uniform hinged beam (m = 80 kg) and a horizontal cable of negligible mass. The frame has a side a = 2.0 m and a sideb of unknown value. The reaction force at the hinge has a magnitude of R = 7810 N (pointing up and to the right). Find the value of the length of side b. You must solve this problem by using the concepts of equilibrium covered in chapter 11. Do not use trigonometry or the value of the angle e to find the value of b. Cable Beam com Rope Hinge M

Problem 1: The figure below shows a safe of mass M = 450 kg hanging by a negligible mass rope hanging from a frame that consists of a uniform hinged beam (m = 80 kg) and a horizontal cable of negligible mass. The frame has a side a = 2.0 m and a sideb of unknown value. The reaction force at the hinge has a magnitude of R = 7810 N (pointing up and to the right). Find the value of the length of side b. You must solve this problem by using the concepts of equilibrium covered in chapter 11. Do not use trigonometry or the value of the angle e to find the value of b. Cable Beam com Rope Hinge M

College Physics

11th Edition

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)...

See similar textbooks

Similar questions

A metal seat with mass m1 = 16 kg hangs from one end of a rope that passes over a frictionless pulley attached to the ceiling. A spring scale hangs from the other end of the rope. A girl with mass m2 = 34 kg sitting on the hung seat is pulling the spring scale. The total system is in static equilibrium state. Question:(1) how much does the scale reads(in Newton)? (2). what is the support force of the seat to the girl? (hint 1: write down all the forces exerted on the chair and on the girl separately and demand the net force for each is zero. hint 2: Newton’s third law says that if there is a force exerted on A by B, then there must be another force exerted on B by A with the same magnitude and in opposite direction)
There is a block loaded with two 0.5 kg masses and is pulled at constant velocity across the table but with an applied force that is parallel to the surface of the table. theta = 0 because the force is of the same diraction as the displacement. What are the magnitudes of the following forces: Fg FN Ff
A small box with a weight of 35.0 N is placed on top of a larger box that has a weight of 80.0 N. The system of two boxes is at rest on a horizontal surface (the larger box is in contact with the surface). You apply an additional downward force of 30.0 N to the top of the small box by resting your hand on it. For this problem, use g = 10 N/kg. (a) What is the magnitude of the force exerted on the large box by the small box? (b) What is the magnitude of the force exerted on the large box by the surface? Now, imagine that the horizontal surface is the floor of an elevator, and the boxes are in the elevator, which has an acceleration directed downward of 1.00 m/s?. (c) What is the magnitude of the force exerted on the large box by the small box in this case? (d) What is the magnitude of the force exerted on the large box by the surface in this case? N
A person is pushing a wheelbarrow along a ramp that makes an angle a = 23.0° with the horizontal. The wheelbarrow and load have a combined mass of m = 28.85 kg with the center of mass at the midpoint of the length L. What is the Fx magnitude of the net force Fnet that the person must apply in order to push the wheelbarrow up the ramp at a constant velocity, while keeping the wheelbarrow in a level, horizontal orientation? Assume that the radius of the wheel is small enough to ignore. Use g = 9.81 m/s². total force: N
ASAP
In the figure, a 700 kg construction bucket is suspended by a cable A that is attached at O to two other cables B and C, making angles 81 = 60.0° and 0, = 61.0° with the horizontal. Find the tensions in (a) cable A, (b) cable B, and (c) cable C. (Hint: To avoid solving two equations in two unknowns, position the axes as shown in the figure.) B (a) Number Units Units (b) Number Units (c) Number
A sphere of mass m = 2kg is in equilibrium tied to two strings as indicated in the figure. Find the tension T and the angle α of the rope hanging from the ceiling if the tension of the rope attached to the side wall is T'= 4N. Consider g = 10 m/s2.
A 20.4 kg mass (m) is suspended by the cable assembly as shown in the figure. The cables have no mass of their own. The cable to the left (T) of the mass makes an angle of 0.00° with the horizontal, and the cable to the right (T2) makes an angle (02) of 30.1°. If the mass is at rest, what is the tension in each of the cables, T and T2? The acceleration due to gravity T, T, is g = 9.81 m/s². N T1 = m N T2 =
Consider a resultant force of 80 N along the negative x-axis. The resultant was calculated as a sum of the following four tensile forces: F1 = 70 N at 50°, F2=250 N at 250° and F3= 60 N at 40° and F4 Find the magnitude and the direction of the force F4. Find the force F4. Use the counter clockwise direction as the positive direction of the angle from the positive x-axis. Provide the answers to 2 decimal places. y 1) Draw a force diagram to support your workings. 2) Compute the x-component of F4 according to the coordinate system shown. 3) Compute the y-component of F4 according to the coordinate system shown, 4) Compute the magnitude and the direction of F4. Define the direction of F4 from the positive x-axis; use the counter clockwise direction as the positive direction for the angle. 5) Draw a sketch of F4 (final values of the magnitude and direction in association with X and Y components).
The block shown in (Figure 1) has a mass of m = 75 kg, a height H = 1.1 m, and width L = 1.6 m. It is resting on a ramp that makes an angle 0 = 34° with the horizontal. A force P is applied parallel to the surface of the ramp at the top of the block. What is the maximum force that can be applied without causing the block to move? The coefficient of static friction is μs = 0.42, and the center of mass of the block is at the center of the rectangle. What is the maximum magnitude of P that can be applied before tipping would occur, assuming the block does not slip? Express your answer to three significant figures with appropriate units. Ptip = 649 N Submit Previous Answers Correct Figure W H F x 2 of 2 Part F What is the maximum magnitude of P that does not cause motion of the block? Express your answer to three significant figures with appropriate units. ☐ μÅ Pmax = |667.611 N Submit Previous Answers Request Answer × Incorrect; Try Again; 5 attempts remaining Provide Feedback ? Review…
In the figure, a 799 kg construction bucket is suspended by a cable A that is attached at O to two other cables B and C, making angles 0₁ = 55.0° and 0₂ = 66.0° with the horizontal. Find the tensions in (a) cable A, (b) cable B, and (c) cable C. (Hint: To avoid solving two equations in two unknowns, position the axes as shown in the figure.) (a) Number i (b) Number (c) Number i Units Units Units B A C 09 >
In the figure, block M2 is sitting on a table and is connected by mass-less chords to block M1 and to a vertical wall. The coefficient of static friction between M2 and the table is Us=0.60. Block M1 has a mass of 8 kg. The angle made by the chord and the wall is 55 degrees. What minimum mass must block M2 have in order to remain stationary and not slide?