Question

In: Physics

The force table consists of a circular platform with marking at the edge showing the angle...

The force table consists of a circular platform with marking at the edge showing the angle for a circle centered about the center of the table. A mass, m = 120 gram is places on a hanger which has a mass of 50 g, giving a total mass of 170 g. The hanger is hung at an angle of 110 deg over a pulley attached to the force table using a string of negligible mass. The pulley over which the string rests has very low friction force.

The tension in the string: 1.67  N.
The components: Fx = -0.570 N, Fy = 1.57 N
Total mass needed to balance the force: 170 g
Angle should the mass be hung: 290 deg.

This is where I'm confused and having problems:
The balancing mass used in the last exercise is kept in place. The original mass that was hanging at 110 deg is removed and replaced with its components with the x and y axes at 0 deg and the 90deg respectively. What is the total mass (mass plus hanger) needed along the x-axis? Along which direction should the mass be hung?
Mass = ??
I know that it will be -x from the Fx component

What is the total mass (mass plus hanger) needed along the y-axis? Along which direction should the mass be hung?
Mass = ??
I know that it will be +y from the Fy component

Solutions

Expert Solution

The force table consists of a circular platform with marking at the edge showing the angle for a circle centered about the center of the table. A mass, m = 220 gram is places on a hanger which has a mass of 50 g, giving a total mass of 270 g. The hanger is hung at an angle of 140 deg over a pulley attached to the force table using a string of negligible mass. The pulley over which the string rests has very low friction force.

The tension in the string: 265 N.
The components: Fx = -2.03 N, Fy = 1.70 N
Total mass needed to balance the force: 270 g
Angle should the mass be hung: 320 deg.

The horizontal component of the 270g weight (270g=0.27kg, 50g = 0.05kg)
0.27*9.8*cos140 = -2.03N (negative means towards 180deg) = 9.8*(0.05+mx)
=> mx = 156.8g 156.8+50=206.8g including hanger
Hung at 0 degrees to counteract horizontal force component at 180 degrees
The vertical component of the 270g weight
0.27*9.8*sin140 = 1.70N = 9.8*(0.05+my) => my = 123.6g
Postive meaning towards 90 degrees
123.6+50=173.6g including hanger
Hung at 270 degrees


Related Solutions

Draw the AD-AS curves marking the axes and showing the short term equilibrium. Describe when it...
Draw the AD-AS curves marking the axes and showing the short term equilibrium. Describe when it is a macro failure.
Briefly explain the diffraction of a circular aperture. Draw a rough sketch showing a circular aperture...
Briefly explain the diffraction of a circular aperture. Draw a rough sketch showing a circular aperture and the fringes on the screen. What type of fringes do you expect? Is the central fringe bright or dark?
a. A horizontal platform in the shape of a circular disk ( I = 1/2 MR2)...
a. A horizontal platform in the shape of a circular disk ( I = 1/2 MR2) rotates in a horizontal plane about a frictionless vertical axle. The platform has a mass M=200kg and a radius R=2.00 m. A student whose mass is m=60.0kg, walks slowly from the rim of the platform toward the center. If the angular speed of the system is 2.00 rad/s, when the student is at the rim, calculate the angular speed of the system when the...
A person is pulling on a block with a force of 100N at an angle of...
A person is pulling on a block with a force of 100N at an angle of 30 degrees with the horizontal (+x direction). If the mass of the block is 10kg and the coefficient of friction is uk=0.2, and the block undergoes a displacement of 15 m in the +x direction, what is the net work done on the block? a.) -294 J b.) 294 J c.)1005 J d.)1299 J e.)1593 J
A star near the visible edge of a galaxy travels in a uniform circular orbit. It...
A star near the visible edge of a galaxy travels in a uniform circular orbit. It is 48,400 ly (light-years) from the galactic center and has a speed of 275 km/s. a)  Estimate the total mass of the galaxy (billion solar mass) based on the motion of the star. Gravitational constant is 6.674×10−11 m3/(kg·s2) and mass of the Sun Ms=1.99 × 1030 kg. b)  The total visible mass (i.e., matter we can detect via electromagnetic radiation) of the galaxy is 1011 solar...
What is the difference between a stabilizing force and dislocating force? At what angle of pull...
What is the difference between a stabilizing force and dislocating force? At what angle of pull does the stabilizing force become a dislocating force? Why? For full credit, draw the free body diagrams and equations of force or moment to support your answer.
a worker applies a horizontal force to the top edge of a crate to get it...
a worker applies a horizontal force to the top edge of a crate to get it to tip (rotate) forward. if the crate has a mass of 100kg and is 1.6m tall and 0.80 wide. assume gravity force is applied at the center of the crate, and that there is enough friction with the floor for crate not to slip, so the lower left rib of crate is the axis of rotation. what is the lever arm for the gravity...
A force platform is a tool used to analyze the performance of athletes measuring the vertical...
A force platform is a tool used to analyze the performance of athletes measuring the vertical force that the athlete exerts on the ground as a function of time. Starting from rest, a 63.0 kg athlete jumps down onto the platform from a height of 0.690 m. While she is in contact with the platform during the time interval 0 < t < 0.8 s, the force she exerts on it is described by the function below. F = (9...
Determine the magnitude of the resultant force. Determine the coordinate direction angle α of the resultant force.
Determine the magnitude of the resultant force. Determine the coordinate direction angle α of the resultant force. Determine the coordinate direction angle β of the resultant force.Determine the coordinate direction angle γ of the resultant force.   
Figure is an edge-on view of a 14 cm diameter circular loop rotating in a uniform...
Figure is an edge-on view of a 14 cm diameter circular loop rotating in a uniform 3.8×10-2 T magnetic field. I solved part a by using  φ= B A cos θ = Bπr2 cosθ = (3.8 x 10-2) π (.07)2cos (0 degrees)= 5.8 x 10-4 Wb and got correct answer,  but having trouble finding the right answer for part B.  I used same equation for part B and used cos (30)= got wrong answer.  Is there another equation for finding the answer with the...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT