A uniform 8.00 m. 1500 kg beam is hinged to a wall and supported by a thin cable attached 2.00 m from the free end of the beam, as shown in the figure. The beam is fixed to the wall by a hinge at an angle of 30.0-above the horizontal. The angle between the cable and the beam is 40.0. 40.0 Starting from the force balance equation in the vertical and the torque balance equation around the point where the beam is fixed to the wall: What is the correct expression for the hinge force H? O (Mg-H sin 30) x 6m cos 30- Mg x 4m (Mg-H sin 30) x 6m - Mg x 4m OME Hsin 30) xóm Mexim (Mg-H cos 30) x 6m - Mg x 4m

A uniform 8.00 m. 1500 kg beam is hinged to a wall and supported by a thin cable attached 2.00 m from the free end of the beam, as shown in the figure. The beam is fixed to the wall by a hinge at an angle of 30.0-above the horizontal. The angle between the cable and the beam is 40.0. 40.0 Starting from the force balance equation in the vertical and the torque balance equation around the point where the beam is fixed to the wall: What is the correct expression for the hinge force H? O (Mg-H sin 30) x 6m cos 30- Mg x 4m (Mg-H sin 30) x 6m - Mg x 4m OME Hsin 30) xóm Mexim (Mg-H cos 30) x 6m - Mg x 4m

Glencoe Physics: Principles and Problems, Student Edition

1st Edition

ISBN:9780078807213

Author:Paul W. Zitzewitz

Publisher:Paul W. Zitzewitz

Chapter8: Rotational Motion

Section: Chapter Questions

Problem 90A

See similar textbooks

Related questions

Q: Which of the statement/s is/are correct? 1. CD is the total drag coefficient. II. Drag due to skin…

A: Summarize:Statement I is correct.Statement II is incorrect.Statement III is incorrect.

Q: Part b) provide the direction of the magnetic force that is experien by the balloon assuming the…

A: In the question it is given that Velocity of the balloon is ,v=17 m/s due south Magnetic field…

Q: A 20-kg object sitting at rest is struck elastically in a head-on collision with a 14-kg object…

A: The mass of object 1 is Initially, object 1 is at rest so The mass of object 2 is Initial velocity…

Q: IP The terminals A and B in the figure(Figure 1) are connected to a 9.0-V battery. Suppose R₁ = 1.3,…

Q: n struggles to read by holding a book at arm's length, a of 53 cm away. Part A What power of reading…

Q: For each diagram below, in which direction (as viewed from above) would the induced current in the…

A: The direction of the current induced is given by Lenz law according to which "The direction of the…

Q: 3) A truck is moving down a 10° incline. The driver strongly applies the brakes to avoid a collision…

Q: Group Work What is the terminal voltage of a large 1.54-V carbon-zinc dry cell used in a physics lab…

Q: Over a certain region of space, the electric potential is V= 4x - 4x2y + 2yz². (a) Find the…

Q: A soccer ball is kicked at an angle of 45 degrees with respect to the ground. If the ball lands 30…

A: The angle of the ball witht respect to the ground is .The horizontal displacement of the ball is…

Q: Kasim asks Sarah whether there is an acceleration on the system in the y-direction. Which of Sarah's…

Q: 27. A person in a spaceship passing Earth observes her own heart rate to be 75 beats / minute and…

Q: Figure 1) shows the light intensity on a screen 2.7 m behind a double slit. The wavelength of the…

Q: Find the mass of water that vaporizes when 3.08 kg of mercury at 205 °C is added to 0.216 kg of…

Q: A car is driven south in a straight line with decreasing speed, the acceleration of the car must be…

A: A car is driven south in a straight line with decreasing speed.We are required to determine the…

Q: Ganymede, one of Jupiter's moons, is the largest moon in our solar system. It has a mass of 1.48 ×…

Q: Assume a transparent rod of diameter d = 5.60 µm has an index of refraction of 1.31. Determine the…

Q: 46. A 90 kg person riding a Ferris wheel moves in a vertical circular path of radius 12 m at a…

Q: 32. Three forces, labeled A, B, C, are applied to a door that may rotate about a hinge at P. The…

A: Here The magnitude of all the forces are equal = F (let) All forces acts at 30° with the door. We…

Q: Use the worked example above to help you solve this problem. A proton moves with a speed of 1.03 x…

A: A proton is moves with speed v=1.03×105 m/s through earth's magnetic field 55.1 uT at a particular…

Q: Four point charges, q1 = 8.2 uC, q2 = -7.8 uC, q3 = 1.7 uC and q4 = -5.9 uC, are arranged in a…

Q: The voltage across a 70 μF�F capacitor is described by the equation…

Q: A 2.0-cm-tall object is 23 cm in front of a converging lens that has a 40 cm focal length. Calculate…

A: Given data:Object distance, u = -23 cm (By using sign convention)focal length of the lens, f = + 40…

Q: span 6.0 m long with a coefficient of kinetic friction 4k = 0.25; and the section from C to the…

A: Mass of block m=500 gram=0.500 KgInitial height of block h=3.00mLength of section BC l=6.00…

Q: Calculate for the % difference between the initial and final momentum of the total/whole system for…

Q: Answer "TRUE" or "FALSE" in each question and explanati For a horizontal disk rotating about its…

A: For a horizontal disk rotating about its axis, every point on the disk :

Q: Z > X n Us Ꮎ ― X

Q: 3. A 21.0 cm diameter coil consists of 34 turns of cylindrical copper wire -3 2.80 mm in diameter. A…

Q: What is the binding energy per nucleon for 27 AI? 13

Q: A coil of wire with 230 circular turns of radius 3.40 cmcm is in a uniform magnetic field along the…

A: The number of turns in the coil is .The radius of the coil is .The resistance of the coil is The…

Q: Two long, straight wires are oriented perpendicular to the page, as shown in the figure(Figure 1).…

Q: The drawing shows four different situations in which a light ray is traveling from one medium into…

Q: (numbers 12-13) A small block of mass m slides in a vertical circular trajectory along the inside of…

Q: A 20 kg sled is being pulled on ice by two siblings, each holding a rope. The younger sibling pulls…

A: To find the net force and acceleration of the sled, we'll break down the forces into their…

Q: The figure (Figure 1) shows a simplified circuit for a photographic flash unit. This circuit…

Q: 1. An ideal gas at 20 °C consists of 2.2 x 10^22 atoms. 3.8 JJ of thermal energy are removed from…

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: (Figure 1) is the velocity-versus-time graph of a particle in simple harmonic motion. The amplitude…

A: where:A is amplitude T is time period and is phase constant.From the given graph we get

Q: When the rocker engines on the starship enterprise XIII are suddenly turned off while travelling in…

A: As it is given in the question that rocket is in free space and there is no stars or other planets…

Q: Exercise No 16: The pendulum in a grandfather clock is made of brass and keeps perfect time at 20°C.…

Q: A 300.0 g mass (m1) and 80.0 g mass (m2) are connected by a massless string. The string is stretched…

Q: A box of mass 4.8 kg slides on a horizontal frictionless table and collides with another box of mass…

A: Given data:mass of box 1, m1 = 4.8 kgmass of box 2 = 3 kgInitial veloctiy of box 1 = 4 ms-1Initial…

Q: A stamp collector uses a lens with 7.2-cm focal length as a simple magnifier. The virtual image is…

A: Focal length of lens f=7.2 cm, The virtual image at the near point v=25 cm

Q: ..7 SSM www A stone is dropped into a well. The splash is heard 3.00 s later. What is the depth of…

A: The speed of the sound in the air is .The equation of the motion is

Q: beam of white light is incident on the surface of a diamond at an angle θa. (Figure 1) Since the…

A: The refractive index of blue light,

Q: The figure below shows a side view of a car tire before it is mounted on a wheel. Model it as having…

Q: 4. Example 9.18 in the text, "finding the center of mass of a thin circular hoop", illustrates all…

Q: A 90 2 resistor has a current of 0.68 A and is connected in series with a 110 resistor. Part A What…

Q: A transverse wave travels across a string having a linear mass density 0.065 kg/m. The wavelength of…

Q: A 3.0-cm-tall object is 13.5 cm in front of a diverging lens that has a -25 cm focal length.…

Q: A circular disk with a radius of 0.52 m is subject to 2 tangentially applied forces. The disc is…

Concept explainers

Torque

Torque is the rotational equivalent of linear force in physics and mechanics. Based on the course of study, it is also known as the moment of force, rotational force, or turning effect.

Question

100%

A uniform 8.00 m. 1500 kg beam is hinged to a wall and supported by a thin cable attached 2.00 m from the free end of the
beam, as shown in the figure. The beam is fixed to the wall by a hinge at an angle of 30.0 above the horizontal. The angle
between the cable and the beam is 40.0.
40.0
Starting from the force balance equation in the vertical and the torque balance equation around the point where the beam is
fixed to the wall: What is the correct expression for the hinge force H?
O (Mg-H sin 30) x 6m cos 30- Mg x 4m
OME Hsin 30) xóm - Mexâm
OMETHsin 30) xóm Mg xâm
O(Mg-H cos 30) x 6m - Mg x 4m

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1: Vertical Force Balance Equation:

VIEW

Step 2: Torque Balance Equation:

VIEW

Step 3: Now, let's solve for T:

VIEW

Step 4: Let's calculate the values of sin(40°) and cos(30°):

VIEW

Step 5: Now, we can substitute the value of T back into the vertical force balance equation to find H:

VIEW

Step 6: Finally, we can substitute the value of T we found earlier:

VIEW

Solution

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 7 steps

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.

Similar questions

What three factors affect the torque created by a force relative to a specific pivot point?
Under what conditions can a rotating body be in equilibrium? Give an example.
When tightening a bolt, you push perpendicularly on a wrench with a force of 165 N at a distance of 0.140 m from the center of the bolt. How much torque are you exerting in newton-meters (relative to the center of the bolt)?
A stepladder of negligible weight is constructed as shown in Figure P10.73, with AC = BC = = 4.00 m. A painter of mass m = 70.0 kg stands on the ladder d = 3.00 m from the bottom. Assuming the floor is frictionless, find (a) the tension in the horizontal bar DE connecting the two halves of the ladder, (b) the normal forces at A and B, and (c) the components of the reaction force at the single hinge C that the left half of the ladder exerts on the right half. Suggestion: Treat the ladder as a single object, but also treat each half of the ladder separately.
The fishing pole in the figure makes an angle of 20.0o with the horizontal. What is the torque exerted by the fish about an axisperpendicular to the page and passing through the angler’s hand if the fish pulls on the fishing line with a force of 100 N at anangle 37.0o below the horizontal? The force is applied at a point of 2.00 m from the angler’s hands.
In the figure, a 10.0-m long bar is attached by a frictionless hinge to a wall and held horizont by a rope that makes an angle 0 of 53° with the bar. The bar is uniform and weighs 39.9 N. H far from the hinge should a 10.0-kg mass be suspended for the tension T in the rope to be 125 N? ... 10 kg 10 m A) 5.5 m from the hinge B) 6.4 m from the hinge C) 8.15 m from the hinge D) 7.7 m from the hinge
A 50 N force is applied at a 40° angle to a door 0.6 meters from the door hinge. Determine the torque applied to the door.
On the basis of second condition of equilibrium. When opening a door, you push on it perpendicularly with a force of 55.0 N at a distance of 0.850m from the hinges. What torque are you exerting relative to the hinges?
53° 5 m A uniform 8ON beam that is 5 m long is attached to a wall by a cable as shown in the figure. The system is in static equilibrium. The beam is free to pivot at the point where it attaches to the wall. Find the vertical reaction force at the hinge where beam is attached to the wall. O 30N O 100N 40N
The arm of a crane at a construction site is18.0 m long, and it makes an angle of 15.3with the horizontal. Assume that the maximum load the crane can handle is limited by the amount of torque the load producesaround the base of the arm. What maximum torque can the crane with-stand if the maximum load the crane can handle is 607 N?
In the following mechanism, T1 torque and F1 force act on the AB link. Equilibrium conditionSCD according to the superposition principle, the magnitude of torque required to be applied to the CB.obtain by making drawings? (F1 is vertical from mid point of ABIt is applied directly) O=40⁰, CB=3m, AB=2m
A 1220N uniform boom is supported by a cable perpendicular to the boom, as seen in the figure below. The boom is hinged at the bottom, and an m=2120N weight hangs from its top. Assume the angles to be a=60.7deg and 0=(90.0°- a). Ꮎ Ө ja m Find the tension in the supporting cable. Submit Answer Tries 0/10 Find the x-components of the reaction force exerted on the boom by the hinge (choose to the right as positive). Submit Answer Tries 0/10 Find the y-components of the reaction force exerted on the boom by the hinge (choose upwards as positive). Submit Answer Tries 0/10