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2.3 Fire can erupt at random at any point along a stretch of forest AB. The...
05 (20pts): The rod AB can rotate about point A as shown in the figure. During...
05 (20pts): The rod AB can rotate about point A as shown in the figure. During the rotation the collar C slides outward along AB. At any time instant the distance between the center of rotation and instantaneous position of the collar is r and given as a function of timer 407 wherer is in seconds. Similarly the angle between the x axis and instantaneous location of the collar is described as 0 =0.81'. O is given in radians. Determine...
for problem 2, part b, perpendocular to rod ABC not ABD! Problem 1. The force P is applied to the cable at the frict...
for problem 2, part b, perpendocular to rod ABC not
ABD!
Problem 1. The force P is applied to the cable at the frictionless pulley C to hold the 1200N weight in the equilibrium position shown in the figure. Determine: (a) the magnitude of the force P, (b) tension in cable AB, and (c) tension in cable BC, Please draw the free body diagram of the particle under consideration clearly. B 28 200N Problem 2. A force F of magnitude...
1. Two infinitely long parallel wires are situated at x = +1 meter along the x-axis...
1. Two infinitely long parallel wires are situated at x = +1 meter along the x-axis as shown in the figure. They each carry a current of 1 ampere the wire on left out of page the wire on the right into page. A point P is located at y = 1 meter on the y-axis. a. Make a qualitative sketch labeling the magnetic field vector at point P from each wire, and the total magnetic field vector at point...
Facility Location Problem The X county supervisor's board has decided that a new volunteer fire station...
Facility Location Problem The X county supervisor's board has decided that a new volunteer fire station and ambulance facility needs to be built in the county. The county has 30 rural towns that need to be served. A 10 X 10 mile grid has been overlaid on the county map and each of the towns assigned a set of X Y coordinates. The coordinates of each town along with the expected number of annual trips to each are shown in...
FAO Figure 1 2. A thin wire of length L has a uniform charge density +1.A...
FAO Figure 1 2. A thin wire of length L has a uniform charge density +1.A cylindrical Gaussian surface of radius d is drawn with the wire along its central axis, as shown above. Point P is located at the center of one end of the cylinder, a distance d from the end of the wire. Point Q is on the edge of the cylinder directly above the center of the wire, as shown above. A student says, "Gauss's law...
In the above problem, what are the natural places where you would put the hospital? Why? Now, str...
In the above problem, what are the natural places where you
would put the hospital? Why? Now, strengthen your intuition by
determining the expected distance between the random accident point
and the fixed point a where the hospital is located. Find the value
of for which this expectation is minimized. Then look at your
first, intuitive answer. What have you learned?
PROBLEM 2 (13 points) An ambulance travels back and forth, at a constant speed, along a road of length...
Problem 2 - Point charge and plane (20 pts) A point charge q (q>0) is located...
Problem 2 - Point charge and plane (20 pts) A point charge q (q>0) is located a distance d above an infinite conducting plane lying in the x-y plane. The plane is connected to the ground (Fig.1), so that the electric potential V at any point on the plane satisfies V=0. Calculating the electric potential generated by the point charge-grounded plane combination at any point P is more complicated than it looks because the conducting plane pulls some electric charge...
Task III: The Motion of a Pendulum (B1.3, 2.2, 2.3, 2.7, 3.1, 3.4) A strobe photography...
Task III: The Motion of a Pendulum (B1.3, 2.2, 2.3, 2.7, 3.1, 3.4) A strobe photography camera takes photos at regular intervals to capture the motion of a pendulum as it swings from right to left. A student takes measurements from the photo below to analyze the motion. Time (s) 2.5 0 0.5 -0.45 -0.02 1 0.42 1.5 0.85 2 1.29 3 2.16 3.5 2.60 4 3.03 Horizontal Distance form rest position 1.72 *Negative is left of rest position. 1....
I. igure is a map showing force lines and equal energy contours for a plane in...
I. igure is a map showing force lines and equal energy contours for a plane in a conservative field. The energy contours have units of J/kg. This means that the amount of energy transferred to/from the field as an object is moved depends on the mass of the object. This also means that the force acting on an object depends on the mass of the object. (a) If an object is moved from a position where its centre of mass...
A force F⃗ of magnitude F making an angle θ with the x axis is applied...
A force F⃗ of magnitude F making an angle θ with the x axis is
applied to a particle located along axis of rotation A, at
Cartesian coordinates (0,0) in the figure. The vector F⃗ lies in
the xy plane, and the four axes of rotation A, B, C, and D all lie
perpendicular to the xy plane.
A particle is located at a vector position r⃗ r→r_vec with
respect to an axis of rotation (thus r⃗ r→r_vec points from...
05 (20pts): The rod AB can rotate about point A as shown in the figure. During the rotation the collar C slides outward along AB. At any time instant the distance between the center of rotation and instantaneous position of the collar is r and given as a function of timer 407 wherer is in seconds. Similarly the angle between the x axis and instantaneous location of the collar is described as 0 =0.81'. O is given in radians. Determine...
for problem 2, part b, perpendocular to rod ABC not
ABD!
Problem 1. The force P is applied to the cable at the frictionless pulley C to hold the 1200N weight in the equilibrium position shown in the figure. Determine: (a) the magnitude of the force P, (b) tension in cable AB, and (c) tension in cable BC, Please draw the free body diagram of the particle under consideration clearly. B 28 200N Problem 2. A force F of magnitude...
1. Two infinitely long parallel wires are situated at x = +1 meter along the x-axis as shown in the figure. They each carry a current of 1 ampere the wire on left out of page the wire on the right into page. A point P is located at y = 1 meter on the y-axis. a. Make a qualitative sketch labeling the magnetic field vector at point P from each wire, and the total magnetic field vector at point...
Facility Location Problem The X county supervisor's board has decided that a new volunteer fire station and ambulance facility needs to be built in the county. The county has 30 rural towns that need to be served. A 10 X 10 mile grid has been overlaid on the county map and each of the towns assigned a set of X Y coordinates. The coordinates of each town along with the expected number of annual trips to each are shown in...
FAO Figure 1 2. A thin wire of length L has a uniform charge density +1.A cylindrical Gaussian surface of radius d is drawn with the wire along its central axis, as shown above. Point P is located at the center of one end of the cylinder, a distance d from the end of the wire. Point Q is on the edge of the cylinder directly above the center of the wire, as shown above. A student says, "Gauss's law...
In the above problem, what are the natural places where you
would put the hospital? Why? Now, strengthen your intuition by
determining the expected distance between the random accident point
and the fixed point a where the hospital is located. Find the value
of for which this expectation is minimized. Then look at your
first, intuitive answer. What have you learned?
PROBLEM 2 (13 points) An ambulance travels back and forth, at a constant speed, along a road of length...
Problem 2 - Point charge and plane (20 pts) A point charge q (q>0) is located a distance d above an infinite conducting plane lying in the x-y plane. The plane is connected to the ground (Fig.1), so that the electric potential V at any point on the plane satisfies V=0. Calculating the electric potential generated by the point charge-grounded plane combination at any point P is more complicated than it looks because the conducting plane pulls some electric charge...
Task III: The Motion of a Pendulum (B1.3, 2.2, 2.3, 2.7, 3.1, 3.4) A strobe photography camera takes photos at regular intervals to capture the motion of a pendulum as it swings from right to left. A student takes measurements from the photo below to analyze the motion. Time (s) 2.5 0 0.5 -0.45 -0.02 1 0.42 1.5 0.85 2 1.29 3 2.16 3.5 2.60 4 3.03 Horizontal Distance form rest position 1.72 *Negative is left of rest position. 1....
I. igure is a map showing force lines and equal energy contours for a plane in a conservative field. The energy contours have units of J/kg. This means that the amount of energy transferred to/from the field as an object is moved depends on the mass of the object. This also means that the force acting on an object depends on the mass of the object. (a) If an object is moved from a position where its centre of mass...
A force F⃗ of magnitude F making an angle θ with the x axis is
applied to a particle located along axis of rotation A, at
Cartesian coordinates (0,0) in the figure. The vector F⃗ lies in
the xy plane, and the four axes of rotation A, B, C, and D all lie
perpendicular to the xy plane.
A particle is located at a vector position r⃗ r→r_vec with
respect to an axis of rotation (thus r⃗ r→r_vec points from...
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