Two objects are attached to ropes that are attached to wheels on a common axle as shown below. The two wheels are glued together so that they form a single object. The total moment of inertia of the two wheels is 36 kg · m2. The radii of the wheels are R1 = 1.3 m and R2 = 0.50 m. (a) If m1 = 24 kg, find m2 such that there is no angular acceleration of the wheels. (b) If 12 kg is gently added to the top of m1, find the angular acceleration of the wheels. Find the tension in the rope holding m1. Find the tension in the rope holding m2.

Total savings obtained by using one energy-efficient bulb : An energy-efficient lightbulb, taking in 23.0 W of power, can produce the same level of brightness as a conventional lightbulb operating at power 100 W. The lifetime of the energy-efficient bulb is 10 000 h and its purchase price is $4.00, whereas.. |

Density dropped in the core from center to outer edge : In the sun, suppose the value of E (energy production per second per gram) drops to 1% of its central value at r/R = .02, which can be taken as the outer boundary of the solar core. Assume E==pT^4 where p is density and T is temperature. You have thi.. |

Find the radius in cm of the subsequent circular path : An electron is accelerated through an electric potential of 123 V, then enters a 29 Gauss magnetic field in a direction at a right angle to the velocity. Find the radius in cm of the subsequent circular path for this electron. Express the answer with.. |

What are the coordinates of the center of mass of the slab : The figure below shows a composite slab with dimensions d1 = 13.6 cm, d2 = 2.80 cm, and d3 = 12.5 cm. Half the slab consists of aluminum (density = 2.70 g/cm3) and half consists of iron (density = 7.85 g/cm3). What are the coordinates of the center o.. |

Find the tension in the rope holding m2 : Two objects are attached to ropes that are attached to wheels on a common axle as shown below. The two wheels are glued together so that they form a single object. The total moment of inertia of the two wheels is 36 kg · m2 |

Find the moment of inertia of the wheel-rictional torque : A wheel free to rotate about its axis that is not frictionless is initially at rest. A constant external torque of +53 N·m is applied to the wheel for 22 s, giving the wheel an angular velocity of +610 rev/min. The external torque is then removed,.. |

Find the recoil velocity of the hunter : A hunter on a frozen, essentially frictionless pond uses a rifle that shoots 4.20 g bullets at 975 m/s. The mass of the hunter (including his gun) is 68.5 kg, and the hunter holds tight to the gun after firing it. a) Find the recoil velocity of the h.. |

Force of friction that driveway exerts on bottom of ladder : A house painter stands 3 m above the ground on a 5.4-m-long ladder that leans against the wall at a point 4.7 m above the ground. The painter weighs 635 N and the ladder weighs 158 N. Assuming no friction between the house and the upper end of the la.. |

Non- conductiong sphere of radius : A charge +Q0 is distributed uniformly througout a non- conductiong sphere of radius R0 the sphere also has a point charge -q0 at its center. a) what is the electric field outside of the sphere at a distance r from the sphere center? b) what is the el.. |

## Find the magnitude of the resulting magnetic fieldA sphere of radius R is uniformly charged to a total charge of Q. It is made to spin about an axis that passes through its center with an angular speed ω. Find the magnitude of the resulting magnetic field at the center of the sphere. |

## Find the equivalent resistanceA resistor is in the shape of a cube, with each side of resistance R . Find the equivalent resistance between any two of its adjacent corners. |

## What is the electric field at the locationQuestion: Field and force with three charges? What is the electric field at the location of Q1, due to Q 2 ? |

## What is the maximum displacement of the bridge deckWhat is the maximum displacement of the bridge deck? |

## What is the magnitude of the current in the wireWhat is the magnitude of the current in the wire as a function of time? |

## Introductory mechanics: dynamicsCalculate the smallest coefficient of static friction necessary for mass A to remain stationary. |

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