A plank of uniform density and length L is placed on a level surface. A 500g...
A plank of uniform density and length L is placed on a level surface. A 500g mass is placed at a point one fifth of the way down the length of the plank and the non-weight end of the plank is extended over a sharp edge. At a point when two thirds of the plank has been extended the plank + weight system is perfectly balanced. What must the mass of the plank be for this system to balance at the given point? What is the center of mass of the plank + weight system in terms of L, the length of the plank?
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A plank of uniform density and length L
is placed on a level surface. A 500g...
A long thin bar (length L = 18 cm, mass 1.8 kg) of uniform density is...
A long thin bar (length L = 18 cm, mass 1.8 kg) of uniform
density is placed upon a horizontal, frictionless surface. A small
rubber puck (mass 250 g) slides towards the bar with a speed (2
m/s) directed perpendicular to the bar. It collides perfectly
elastically with the bar at a distance (d) from the center of mass
of the bar in such a way that the puck rebounds with a velocity (1
m/s).
a) What is the value...
Rope Support In the figure, a uniform plank of length L - 6 m and weight...
Rope Support In the figure, a uniform plank of length L - 6 m and weight W, 400 N is supported in a horizontal position by a support on the left end and a vertical rope on the right end. A box with a weight 1 30 N is placed on the plank at a distance x = 2.4 m from the left end of the plank. The tension in the rope is T and the support exerts a force...
In the figure, a uniform plank, with a length L and a weight of W, rests...
In the figure, a uniform plank, with a length L and a weight of W, rests on the ground and against a frictionless roller at the top of a wall of height h. The plank remains in equilibrium for any value of θ = or more, but slips if θ < θ0. Find the coefficient of static friction between the plank and the ground in terms of the variables given. Roller
A uniform plank of mass m and length L is connected to a wall by a...
A uniform plank of mass m and length L is connected to a wall by a wire of mass my attached to the plank at L/3 as shown. The wire is perpendicular to the wall. The plank rests on the junction of the floor and wall at an angle as shown. A wave with amplitude A and wavelength A propagates along the wire. Disregard reflections. 1/3 L A. (5 points) Draw an extended free-body diagram of the plank. B. (20...
A uniform plank of mass m and length L is connected to a wall by a...
A uniform plank of mass m and length L is connected to a wall by a wire of mass mw attached to the plank at L/3 as shown. The wire is perpendicular to the wall. The plank rests on the junction of the floor and wall at an angle as shown. A wave with amplitude A and wavelength A propagates along the wire. Disregard reflections. 1/3 e A. (5 points) Draw an extended free-body diagram of the plank. B. (20...
A clown of mass Mc= 100kg stands still at the far right end of a plank...
A clown of mass Mc= 100kg stands still at the far right end of a plank of uniform density, mass Mp= 60kg, and length L= 4m that is supported by a frictionless hinge L/4 from the right side of the plank, and it is in contact with a vertical pole hanging from the ceiling at a point that is L/4 from the left side of the plank. a) Draw an "extended” free body diagram indicating where each of the forces...
9. A cardboard tube of radius R and length L has a uniform charge density σ...
9. A cardboard tube of radius R and length L has a uniform charge density σ on its surface. Find the potential at a point on the axis of the tube at a distance d from the center.
A wooden board of length L and total mass m has a linear mass density λ...
A wooden board of length L and total mass m has a linear mass density λ = α x3. • A.) Find the constant α in terms of L and m. • B.) Find the center of mass of the board in terms of the given algebraic variables. Assume the left end of the board is placed at x = zero. • C.) If the pivot point is placed at the center of the board and a block of mass...
4. A non-uniform rod has total mass M and length L with mass density a=Br", where...
4. A non-uniform rod has total mass M and length L with mass density a=Br", where x is measured from the end and b is an unknown constant. The rod is rotating about the center at 0... What is the angular momentum of the rod? (Knowns are M, L, and 0.) y pivot
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...
A long thin bar (length L = 18 cm, mass 1.8 kg) of uniform
density is placed upon a horizontal, frictionless surface. A small
rubber puck (mass 250 g) slides towards the bar with a speed (2
m/s) directed perpendicular to the bar. It collides perfectly
elastically with the bar at a distance (d) from the center of mass
of the bar in such a way that the puck rebounds with a velocity (1
m/s).
a) What is the value...
Rope Support In the figure, a uniform plank of length L - 6 m and weight W, 400 N is supported in a horizontal position by a support on the left end and a vertical rope on the right end. A box with a weight 1 30 N is placed on the plank at a distance x = 2.4 m from the left end of the plank. The tension in the rope is T and the support exerts a force...
In the figure, a uniform plank, with a length L and a weight of W, rests on the ground and against a frictionless roller at the top of a wall of height h. The plank remains in equilibrium for any value of θ = or more, but slips if θ < θ0. Find the coefficient of static friction between the plank and the ground in terms of the variables given. Roller
A uniform plank of mass m and length L is connected to a wall by a wire of mass my attached to the plank at L/3 as shown. The wire is perpendicular to the wall. The plank rests on the junction of the floor and wall at an angle as shown. A wave with amplitude A and wavelength A propagates along the wire. Disregard reflections. 1/3 L A. (5 points) Draw an extended free-body diagram of the plank. B. (20...
A uniform plank of mass m and length L is connected to a wall by a wire of mass mw attached to the plank at L/3 as shown. The wire is perpendicular to the wall. The plank rests on the junction of the floor and wall at an angle as shown. A wave with amplitude A and wavelength A propagates along the wire. Disregard reflections. 1/3 e A. (5 points) Draw an extended free-body diagram of the plank. B. (20...
A clown of mass Mc= 100kg stands still at the far right end of a plank of uniform density, mass Mp= 60kg, and length L= 4m that is supported by a frictionless hinge L/4 from the right side of the plank, and it is in contact with a vertical pole hanging from the ceiling at a point that is L/4 from the left side of the plank. a) Draw an "extended” free body diagram indicating where each of the forces...
9. A cardboard tube of radius R and length L has a uniform charge density σ on its surface. Find the potential at a point on the axis of the tube at a distance d from the center.
4. A non-uniform rod has total mass M and length L with mass density a=Br", where x is measured from the end and b is an unknown constant. The rod is rotating about the center at 0... What is the angular momentum of the rod? (Knowns are M, L, and 0.) y pivot
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...
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