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A uniform rod pivoted at oneend (point O) is freeto swing in a vertical plane in agravitational field, held inequilibrium by a forceF at its other end.The rod of length 4 m andweight 6.1 N makes an angle35degrees with the horizontal andtheforce an angle of 56 drgreeswith the horizontal.

What is the magnitude of the forceF?Answer in units ofN.
What is the magnitude ofthe force the pivot exerts on the rodatpoint O?Answer in units of N.

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Related textbook solutions

Physics: Principles with Applications

7th Edition, 2013

ISBN: 9780321625922

Related questions

A uniform rod pivoted at one end (point O) isfreeto swing in a vertical plane in a gravitational field, heldinequilibrium by a force F at its other end. The rod of length 4 mand weight6.1 N makes anangle 35degrees with the horizontal andtheforce an angle of 56 drgreeswith thehorizontal.

What is the magnitude of the forceF?Answer in units ofN.

What is the magnitude ofthe force the pivot exerts on the rodatpoint O?Answer in units of N.

A thin, uniform rod with negligible mass and length 0.200 misattached to the floor by a frictionless hinge at point P.Ahorizontal spring with force constant k = 4.80 N/m connectstheother end of the rod to a vertical wall. The rod is in auniformmagnetic field B = 0.340 T directed into the page. There is acurrent of I = 6.50 A in the rod.

Angle between rod and floor = 53.0 degrees

direction of current is toward the floor

a. Calculate the torque due to the magnetic force on therod,for an axis at P.

(you can consider the total magnetic force on the rod to actatits center of mass.)

b. When the rod is in equilibrium and makes an angle of53degrees with the floor, is the spring stretchedorcompressed?

c. How much energy is stored in the spring when the rodis inequilibrium?

1)As shown in the figure, a uniform conducting rod of length 0.40 m and mass 0.075 kg is in rotational equilibrium about the hinge at point O. A uniform magnetic field of 0.23 T is directed out of the plane of the page, perpendicular to the rod. Due to a battery and wires not shown, there is a current of 4.0 A in the rod directed toward point O. Determine the angle θ.

2)As shown in the figure, a conducting rod with a length of 0.79 m is placed on a horizontal frictionless surface and attached to a power supply by two springs, each with a spring constant of 81 N/m. The springs are initially at their equilibrium length and are in a region where there is a uniform magnetic field of 0.17 T that is perpendicular to the frictionless surface when the power supply supplies a current that causes the wire to move in such a direction that the two springs are stretched.

A top view of a table shows an arrow field labeled vector B pointing down into the table. On the table a rod lies from the top of the image to the bottom of the image, with a spring attached to the right side of the rod near the top and bottom. The springs are connected to wires that are attached to a power supply.

(a) Determine the stretch of each spring, if the current through the rod is 11 A.

3)A conducting rod of length L = 30.5 cm slides over two horizontal metal bars with a constant speed v to the left through a distance Δx in a time Δt. The entire set up is in a region of uniform magnetic field of magnitude 1.30 T that is directed perpendicular to the rods and out ofthe page.

(a) If the induced emf has a magnitude of 1.00 V, what is the speed with which the rod moves?

4)An MRI technician moves his hand from a region of very low magnetic field strength into an MRI scanner's 2.00-T field with his fingers pointing in the direction of the field.

(a) Find the average emf induced in his wedding ring, given its diameter is 2.34 cm and assuming it takes 0.222 s to move it into the field.

(b) If the resistance of the ring is 1.00 mΩ, how much heat will be transferred to the ring during this time?

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