1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
tatiyna
3 years ago
5

A steel beam of mass 1975 kg and length 3 m is attached to the wall with a pin that can rotate freely on its right side. A cable

attached to the left end pulls at an angle of 60 degrees above the horizontal and holds the beam horizontal (perpendicular to the wall) in equilibrium.
a) What is the torque due to gravity about an axis containing the pin holding the beam to the wall?

b) What is the torque about the pinned end due to the contact forces between the pin and the beam?

c) In terms of the magnitude of the tension force, T, and any relevant angles, find a symbolic expression for the torque due to the tension in the cable about the axis containing the pin (make sure to include the correct sign). Your answer may contain the symbols M, L, T, g, and mathematical functions.

d) Keeping in mind that the system is in equilibrium, find the magnitude of the tension force.
Physics
1 answer:
Nuetrik [128]3 years ago
8 0

Answer:

a) 29062.125 N·m

b) 0 N·m

c) Torque, due \ to \ tension =L\cdot Tsin\theta = \frac{M\cdot L\cdot g}{2}

d) T = 11186.02 N

Explanation:

We are given

Beam mass = 1975 kg

Beam length = 3 m

Cable angle = 60° above horizontal

a) We have the formula for torque given as follows;

Torque about the pin = Force × Perpendicular distance of force from pin

Where the force = Force due to gravity or weight, we have

Weight = Mass × Acceleration due to gravity = 1975 × 9.81 = 19374.75 N

Point of action of force = Midpoint for a uniform beam = length/2

∴ Point of action of force = 3/2 = 1.5 m

Torque due to gravity = 19374.75 N × 1.5 m = 29062.125 N·m

b) Torque about the pinned end due to the contact forces between the pin and the beam is given by the following relation;

Since the distance from pin to the contact forces between the pin and the beam is 0, the torque which is force multiplied by perpendicular distance is also 0 N·m

c) To find the expression for the tension force, T we find the sum of the moment forces about the pin as follows

Sum of moments about p is given as follows

∑M = 0 gives;

T·sin(θ) × L= M×L/2×g

Therefore torque due to tension is given by the following expression

Torque, due \ to \ tension =L\cdot Tsin\theta = \frac{M\cdot L\cdot g}{2}

d) Plugging in the values in the torque due to tension equation, we have;

3\times Tsin60 = \frac{1975\times 3\times 9.81}{2} = 29062.125

Therefore, we make the tension force, T the subject of the formula hence

T= \frac{29062.125}{3 \times sin(60)} = 11186.02 N

You might be interested in
Which of the following is evidence that supports the idea of uniformitarianism?
Inga [223]
D. rates of soil erosion are much lower during droughts that last several years
5 0
3 years ago
How is the independent variable affected by the dependent variable
stiv31 [10]

Answer:

A dependent variable is a variable that is tested in an experiment. An independent variable is that can be modified. Depending on what you are testing, the dependent variable will change accordingly to the dependent variable.

- I'm reading this back and it doesn't make much sense, if you want me to reword this I can

5 0
3 years ago
How much force is need to accelerate a skier that is 66kg at a rate of 2 m/s2?
lubasha [3.4K]

Answer:

132 N

Explanation:

newton's second law states that force = mass * acceleration

F = ma

plug in 66 kg for mass and 2 m/s^2 for acceleration

F = 66 * 2

F = 132 N

8 0
3 years ago
Which one is the correct answer help please ASAP!!!
ivanzaharov [21]
All transverse waves can be polarized. this is because these waves oscillate at 90 degrees to the direction of energy movement.
5 0
3 years ago
A 75 kg soccer player jumps vertically upwards and heads the 0.45 kg ball as it is descending vertically with a speed of 24 m/s.
Vikentia [17]

Answer:

31.66 m/s

Explanation:

mass of player, M = 75 kg

mass of ball, m = 0.45 kg

initial velocity of player, U = + 4 m/s

initial velocity of ball, u = - 24 m/s

Let the final speed of player is V and the ball is v.

use conservation of momentum

Momentum before collision = momentum after collision

75 x 4 - 0.45 x 24 = 75 x V + 0.45 x v

289.2 = 75 V + 0.45 v    .... (1)

As the collision is perfectly elastic, coefficient of restitution,e = 1

So, e=\frac{v_{1}-v_{2}}{u_{2}-u_{1}}

V - v = u - U

V - v = -24 - 4 = - 28

V = v - 28, put this value in equation (1), we get

289.2 = 75 (v - 28) + 045 v

289.2 = 75 v - 2100 + 0.45 v

2389.2 = 75.45 v

v = 31.66 m/s

Thus, the velocity of ball after collision is 31.66 m/.

7 0
3 years ago
Other questions:
  • A boat is travelling due west at a speed of 47 miles per hour. If the boat started off 170 miles directly north of the city of S
    12·1 answer
  • In a ________________ wave, such as a sound wave, the particles in the medium vibrate in the same direction that the wave travel
    9·1 answer
  • Determine the minimum wavelength of light absorbed by (a) diamond, (b) gallium phosphide and (c) tin sulfide if the gap energies
    10·1 answer
  • How do you give an example for finding net force?
    5·1 answer
  • In a certain velocity selector consisting of perpendicular electric and magnetic fields, the charged particles move toward the e
    8·1 answer
  • Elements in Group VIIIA (also known as Group 18, or the noble gases) have
    6·1 answer
  • ¿Juan quiere calentar una barra de aluminio de 100 g, para realizar un trabajo. La temperatura ambiente es de 27°C pero necesita
    10·1 answer
  • On a distant planet, the GPE of a 65 kg astronaut is 11,115 j when they are on a 46 m tall cliff. What is the acceleration due t
    5·1 answer
  • Suppose a rocket in space is accelerating at 1.5 m/s2. If, at a later time, the rocket quadruples its thrust (i.e., net propelli
    6·1 answer
  • 19. What do vibrations create?<br><br> Wavelengths<br> sound waves<br> energy<br> electricity
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!