Ꮎ Chain Fixture Rope
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You are trying to move a light fixture into an apartment. There are hooks in the elevator so you hang the fixture on a hook with a chain. You don't want the fixture to touch the walls, so you attach a rope to the side that pulls horizontally as shown, keeping the fixture stationary with respect to the elevator. Note theta =38∘.
As the elevator ascends vertically, the magnitude of the tension force in the chain from the elevator on the fixture as a function of the vertical position of the elevator, y, is
Fcf(y)=F_0*e^-y/y1
where F_0=167 N and y1=3.3 m.
Using the fixture as your system, if the elevator goes from y=0 to y=5.94m, what is the work done by the tension force in the chain on the fixture?
Here we will find the work done on fixture
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- Two masses, m and M, are released from rest at a height H above the ground. Mass m slides down a curved surface while M slides down an incline as shown. Both surfaces are frictionless and M > m. 45° L Which of the following statements is true? O The time it takes for m to reach the end of the surface is longer because the path it takes is longer. O The time it takes is the same since both masses are released from the same height. sinc O The time it takes for M to reach the end of the incline is less because its horizontal acceleration is larger. Work O The time it takes form to reach the end of the surface is shorter because it has a larger acceleration initially and Work therefore builds speed more quickly. so False O The time it takes is the same since both masses have the same displacement. O The time it takes is the same because both masses have the same speed at the end. O The times cannot be compared without knowing the masses of the blocks. 3. due to th O More than one statement…Which of the following is NOT true of the force of gravity? O There is a gravitational force between any objects that are massive. It is inversely proportional to the square of the distance between the two bodies. O It is proportional to the mass of each object. O The force of gravity only acts on things that are close together.The following information pertains to questions 1, 2, and 3. A workman pulls a sled across an asphalt road using a rope at angle 0 above the horizontal direction. The workman pulls with 1,000[N] of force. The coefficients of friction of the sled with the road are u=1.00 and µ=0.70. The sled has mass m. The sled is initially at rest. T710Q0[N]. 1) Which expression gives the magnitude of fmax for the situation illustrated above? A) mg B) mg – 1000cos(0) C) - mg + 1000cos(0) D) mg-1000sin(0) E) mg+ 1000sin(0) F) None of the above
- A car of mass 1,750 kg travels along a circular road of radius 85.0 m at 20.0 m/s. (a) Calculate the magnitude of the car's centripetal acceleration. |m/s? (b) What is the magnitude of the force of static friction acting on the car? Nq3Referring to the image to the right, the mass of Block 1 is m1=3.72kgm1=3.72kg while the mass of Block 2 is m2=9.88kgm2=9.88kg. The coefficient of kinetic friction between Block 1 and the inclined surface is μk=0.39μk=0.39. The inclined surface is at an angle θ=32.2∘θ=32.2∘ above the horizontal. Part (a) Using the variables from the problem statement together with the acceleration due to gravity, gg, write an equation for the magnitude of the acceleration of the system. Hint: Based upon the numeric choices, Block 1 will accelerate up the incline while the suspended block, Block 2, accelerates vertically downward. Part (b) Calculate the magnitude, in meters per squared second, of the system's acceleration.
- Can you please help me with this question please? Thank you so much!An adventurous archaeologist crosses between two rock cliffs by slowly going hand-over-hand along a rope stretched between the cliffs. He stops to rest at the middle of the rope (Figure 1). The rope will break if the tension in it exceeds 2.55×104 NN , and our hero's mass is 87.6 kgkg1. If the angle between the rope and the horizontal is θθtheta = 11.1 ∘∘, find the tension in the rope?2. What is the smallest value the angle θθ can have if the rope is not to break?An astronaut lost in space is far from any other mass (i.e.,gravity is negligible). He swings a weight of mass m = 0.5 kg that is tiedto a string, and it undergoes counterclockwise circular motion with aradius r = 2 m. The mass does a revolution once every 3 seconds.a) Draw the velocity and acceleration vectors of mass m at points p1,p2, and p3.b) What is the velocity?c) What is the centripetal force?d) What is the magnitude of the tension force in the string?
- A "swing" ride at a carnival consists of chairs that are swung in a circle by 16.9 m cables attached to a vertical rotating pole, as the drawing shows. Suppose the total mass of a chair and its occupant is 137 kg. (a) Determine the tension in the cable attached to the chair. (b) Find the speed of the chair.An adventurous archaeologist crosses between two rock cliffs by slowly going hand-over-hand along a rope stretched between the cliffs. He stops to rest at the middle of the rope (Figure 1). The rope will break if the tension in it exceeds 2.55×104 NN , and our hero's mass is 87.6 kgkg . 1. If the angle between the rope and the horizontal is θθtheta = 11.1 ∘∘, find the tension in the rope. 2. What is the smallest value the angle θθ can have if the rope is not to break?A "swing" ride at a carnival consists of chairs that are swung in a circle by 12.4 m cables attached to a vertical rotating pole, as the drawing shows. Suppose the total mass of a chair and its occupant is 135 kg. (a) Determine the tension in the cable attached to the chair. (b) Find the speed of the chair.