剛體轉動動力學與角動量守恆定律

📝 歷屆考古題

• 115年 hce_kmu 第3題
  A particle moves along a vertical circular track of radius R. The circular track is smooth and has z…
  查看 AI 詳解 →
• 115年 hce_kmu 第32題
  A uniform circular disk of mass $M$ and radius $r$ is connected by a light cord to a fixed pivot on…
  查看 AI 詳解 →
• 114年 hce_kmu 第4題
  A small object of mass $m$ is suspended from a string of length $L$. The gravitational acceleration…
  查看 AI 詳解 →
• 114年 hce_kmu 第35題
  A stuntman drives a car (without negative lift) over the top of a hill, and the cross section of whi…
  查看 AI 詳解 →
• 114年 hce_kmu 第36題
  A uniform and thin stick of mass (m) and length (l) is held vertically by two strings of negligible…
  查看 AI 詳解 →
• 114年 hce_kmu 第48題
  A piece of thin uniform wire of mass $m$ and length $3b$ is bent into an equilateral triangle. Find…
  查看 AI 詳解 →
• 113年 hce_kmu 第4題
  A child plays a string of length = 20 cm connected with a ball of mass m = 1 kg, and starts to rotat…
  查看 AI 詳解 →
• 113年 hce_kmu 第5題
  A grindstone increases in angular speed from 4 rad/s to 12 rad/s in 4 s. Through what angle does it…
  查看 AI 詳解 →
• 113年 hce_kmu 第34題
  A vertically hanging 16 kg block is connected to a cord wrapped around the rim of a flywheel with a…
  查看 AI 詳解 →
• 113年 hce_kmu 第35題
  A bullet weighing 100 g is diagonally fired into the end of a 0.5 m long stick with a speed of $v_0$…
  查看 AI 詳解 →
• 113年 hce_kmu 第36題
  A frictionless curve of radius 500 m is banked with a banking angle $\theta = 30^\circ$. A ball of m…
  查看 AI 詳解 →
• 113年 hce_kmu 第37題
  A thin rod of length 100 cm and mass 6 kg with the rotation axis through its center. The rod rotates…
  查看 AI 詳解 →
• 112年 hce_kmu 第35題
  A 3 kg particle moves to the right at 4 m/s as shown in the figure. The magnitude of its angular mom…
  查看 AI 詳解 →
• 112年 hce_kmu 第37題
  A grindstone increases in an angular speed from 4 rad/s to 12 rad/s in 4 s. Through what angle does…
  查看 AI 詳解 →
• 112年 hce_kmu 第39題
  A car travels at a constant speed of 60 km/hr on a level circular turn of radius of 40 m. What is th…
  查看 AI 詳解 →
• 112年 hce_kmu 第40題
  A 5 kg ball is held in the hand as shown in the figure, with the arm horizontal and 40 cm from the e…
  查看 AI 詳解 →
• 111年 hce_kmu 第38題
  A ball of mass $m$ is released from a height of $H$. What is its speed when it is at a height of $y$…
  查看 AI 詳解 →
• 111年 hce_kmu 第39題
  A wheel of radius $R$ and moment of inertia $I$ is mounted on a frictionless horizontal axle as show…
  查看 AI 詳解 →
• 110年 hce_kmu 第3題
  The graph below shows the angular acceleration $\alpha$ of a bicycle tire. During the four-second ti…
  查看 AI 詳解 →
• 110年 hce_kmu 第32題
  A part of the square that has sides of length L is removed from one corner. The center of mass of th…
  查看 AI 詳解 →
• 110年 hce_kmu 第35題
  A toy car is running on a banked circular track of radius $10\text{ m}$, as shown below. If the car…
  查看 AI 詳解 →
• 109年 hce_kmu 第2題
  What is this body’s moment of inertia $I$ about axis through disk $A$?
  查看 AI 詳解 →
• 109年 hce_kmu 第35題
  A uniform solid sphere of mass $M$ and radius $R$ rotates with an angular speed $\omega$ about an ax…
  查看 AI 詳解 →
• 108年 hce_kmu 第3題
  A pivoted bar has a weight of $10\text{ kg}$ and a length of 1 meter, and is supported by a cable, a…
  查看 AI 詳解 →
• 108年 hce_kmu 第4題
  A circular track of radius 1000 meters is banked at 30 degrees without any friction. What is require…
  查看 AI 詳解 →
• 108年 hce_kmu 第5題
  Two point masses $1\text{ kg}$ and $2\text{ kg}$ are on a massless bar with axis of rotation through…
  查看 AI 詳解 →
• 108年 hce_kmu 第6題
  The disk A with moment of inertia $I_1$ rotates with angular speed $\omega_1$ about a vertical frict…
  查看 AI 詳解 →
• 108年 hce_kmu 第31題
  A uniform solid ball with mass M is supported by a massless rod. Derive the period of the pendulum w…
  查看 AI 詳解 →
• 108年 hce_kmu 第34題
  A particle of mass m = $0.10\text{ kg}$ and speed $v_0 = 5.0\text{ m/s}$ collides and sticks to the…
  查看 AI 詳解 →
• 107年 hce_kmu 第2題
  A $70$ kg person stands on one end of a one-meter long board. The board is uniform and weighs $100$…
  查看 AI 詳解 →

• 107年 hce_kmu 第3題
  A thin uniform rod of mass $M$ and length $L$ is positioned vertically above an anchored frictionles…
  查看 AI 詳解 →
• 107年 hce_kmu 第4題
  A disk with a radius of $2.0$ m and a rotational inertia of $0.40\text{ kg}\cdot\text{m}^2$ rotates…
  查看 AI 詳解 →
• 107年 hce_kmu 第34題
  A box of mass $1$ kg was placed on the edge of a rotating table with radius $10$ cm, as shown below.…
  查看 AI 詳解 →
• 107年 hce_kmu 第35題
  A $10$ N tangential force is applied at the edge of a $20$ kg disk with a radius of $2.0$ m. Then, t…
  查看 AI 詳解 →
• 107年 hce_kmu 第36題
  A uniform beam of weight $300$ N and length $3.0$ m is suspended horizontally. On the left it is hin…
  查看 AI 詳解 →
• 106年 hce_kmu 第4題
  A rod of length $L$ and mass $M$ is placed along the x-axis with one end at the origin, as shown in…
  查看 AI 詳解 →
• 106年 hce_kmu 第12題
  The angular velocity vector of a spinning body points out of the page. If the angular acceleration v…
  查看 AI 詳解 →
• 106年 hce_kmu 第15題
  A thin-walled hollow tube rolls without sliding along the floor. The ratio of its translational kine…
  查看 AI 詳解 →
• 106年 hce_kmu 第44題
  A disk with a rotational inertia of $5.0 \text{ kg}\cdot\text{m}^2$ rotates around its central axis…
  查看 AI 詳解 →
• 106年 hce_kmu 第52題
  A solid brass ball of mass $0.280 \text{ g}$ will roll smoothly along a loop-the-loop track when rel…
  查看 AI 詳解 →