A small bead of mass m is free to slide along a long, thin, frictionless rod,...
A small bead of mass m is free to slide along a long, thin, frictionless rod, which spins in a horizontal plane abut one end at a frequency of f (i.e., f revolutions per second). Show that the displacement of the bead from the center of rotation as a function of time t is given by r(t) = A exp(ct) + B exp(–Ct). Find the expression for the constant C. Also, how would you determine A and B?
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A small bead of mass m is free to slide along a long, thin,
frictionless rod,...
2. A bead of mass m is free to slide along a frictionless wire bent in...
2. A bead of mass m is free to slide along a frictionless wire bent in the curve yx3 where a is a positive constant. The bead starts from rest at x - a and slides under the influence of a constant gravitational field g pointing in the negative y direction. Find the time required for the bead to reach the origin. Express your answer in terms of the constants a and g Hint: Use the energy method. You may...
A bead of mass M is able to move without friction along a stationary horizontal rod...
A bead of mass M is able to move without friction along a stationary horizontal rod (directed along the x axis). In addition, a second body of mass m is attached to the first bead and suspended below it via a massless rod of length a. This second mass and rod form a pendulum that is able to swing in the xy-plane (where y is the vertical axis). (a) Obtain the Lagrangian for the system of two masses. (b) Assuming...
5. A bead of mass m is free to slide on a frictionless wire bent in...
5. A bead of mass m is free to slide on a frictionless wire bent in the shape of a cosine curve y - a cos (k), where a and b are constant. Gravity points in the negative y direction. Suppose the bead starts at rest at the top of a peak. a. Find the radius of curvature of the point at the bottom of a trough. b. Find the tangential and normal components of the acceleration of the bead...
A conducting rod of mass m and negligible resistance is free to slide without friction along...
A conducting rod of mass m and negligible resistance is free to slide without friction along two parallel rails of negligible resistance separated by a distance I and connected by a resistor R. The rails are attached to a long inclined plane that makes an angle with the horizontal. There is a magnetic field B as shown. (a) Show that there is a retarding force on the bar and find an expression for this force. (b) Find an expression for...
A small bead of mass m can slide without friction on a circular hoop that is...
A small bead of mass m can slide without friction on a circular hoop that is in a vertical plane and has a radius R. The hoop rotates at a constant angular velocity ω about a vertical axis through the diameter of the hoop. Our goal is to find the angle β, as shown, such that the bead is in vertical equilibrium. We break the problem into several steps. a) Assume the bead is in vertical equilibrium and does not...
1. A small bead is free to slide without friction on a rotating wire. The angular...
1. A small bead is free to slide without friction on a rotating wire. The angular speed of the wire is w. In the coordinate system that rotates with the wire, there will be fictitious Coriolis and centrifugal forces, in addition to the real normal force the wire exerts on the bead. Working in this rotating coordinate system, (a) Draw the force diagram, including the fictitious forces. Write down the F=ma equations for the directions parallel and perpendicular to the...
A small glass bead charged to 4.5 nC is in the plane that bisects a thin, uniformly charged, 10-cm-long glass rod and is 4.0 cm from the rod's center.
A small glass bead charged to 4.5 nC is in the plane that bisects a thin, uniformly charged, 10-cm-long glass rod and is 4.0 cm from the rod's center. The bead is repelled from the rod with a force of 940 μN. What is the total charge on the rod?
correct answer is 1.pls explain well.. A long horizontal rod has a bead which can slide...
correct answer is 1.pls explain well..
A long horizontal rod has a bead which can slide along its length and is initially placed at a distance L from one end A of the rod. The rod is set in angular motion about A vwith a constant angular acceleration α. If the coefficient of friction between the rod and bead is μ, and gravity is neglected, then the time after which the bead starts slipping is 关 Ll (4) infinitesimal
A small glass bead charged to 7.7 nC is in the plane that bisects a thin, uniformly charged, 10-cm-long glass rod and is 4.0 cm from the rod's center.
A small glass bead charged to 7.7 nC is in the plane that
bisects a thin, uniformly charged, 10-cm-long glass rod and is 4.0
cm from the rod's center. The bead is repelled from the rod with a
force of 850 ?N.What is the total charge on the rod?Express your answer to two significant figures and include the
appropriate units.
A small electrically charged bead with the mass m and charge Q can slide on a...
A small electrically charged bead with the mass m and charge Q can slide on a circular insulating string without friction. The radius of the circle is r. A point-like electric dipole is at the center of the circle with the dipole moment P lying in the plane of the circle. Initially the bead is at an angle θ = 플 +6, where δ is infinitely small, as shown schematically in the figure below. Figure 3: Bead on a string...
2. A bead of mass m is free to slide along a frictionless wire bent in the curve yx3 where a is a positive constant. The bead starts from rest at x - a and slides under the influence of a constant gravitational field g pointing in the negative y direction. Find the time required for the bead to reach the origin. Express your answer in terms of the constants a and g Hint: Use the energy method. You may...
A bead of mass M is able to move without friction along a stationary horizontal rod (directed along the x axis). In addition, a second body of mass m is attached to the first bead and suspended below it via a massless rod of length a. This second mass and rod form a pendulum that is able to swing in the xy-plane (where y is the vertical axis). (a) Obtain the Lagrangian for the system of two masses. (b) Assuming...
5. A bead of mass m is free to slide on a frictionless wire bent in the shape of a cosine curve y - a cos (k), where a and b are constant. Gravity points in the negative y direction. Suppose the bead starts at rest at the top of a peak. a. Find the radius of curvature of the point at the bottom of a trough. b. Find the tangential and normal components of the acceleration of the bead...
A conducting rod of mass m and negligible resistance is free to slide without friction along two parallel rails of negligible resistance separated by a distance I and connected by a resistor R. The rails are attached to a long inclined plane that makes an angle with the horizontal. There is a magnetic field B as shown. (a) Show that there is a retarding force on the bar and find an expression for this force. (b) Find an expression for...
1. A small bead is free to slide without friction on a rotating wire. The angular speed of the wire is w. In the coordinate system that rotates with the wire, there will be fictitious Coriolis and centrifugal forces, in addition to the real normal force the wire exerts on the bead. Working in this rotating coordinate system, (a) Draw the force diagram, including the fictitious forces. Write down the F=ma equations for the directions parallel and perpendicular to the...
correct answer is 1.pls explain well..
A long horizontal rod has a bead which can slide along its length and is initially placed at a distance L from one end A of the rod. The rod is set in angular motion about A vwith a constant angular acceleration α. If the coefficient of friction between the rod and bead is μ, and gravity is neglected, then the time after which the bead starts slipping is 关 Ll (4) infinitesimal
A small glass bead charged to 7.7 nC is in the plane that
bisects a thin, uniformly charged, 10-cm-long glass rod and is 4.0
cm from the rod's center. The bead is repelled from the rod with a
force of 850 ?N.What is the total charge on the rod?Express your answer to two significant figures and include the
appropriate units.
A small electrically charged bead with the mass m and charge Q can slide on a circular insulating string without friction. The radius of the circle is r. A point-like electric dipole is at the center of the circle with the dipole moment P lying in the plane of the circle. Initially the bead is at an angle θ = 플 +6, where δ is infinitely small, as shown schematically in the figure below. Figure 3: Bead on a string...
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