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A circular hoop of mass M and radius a rolls without slipping with constant angular speed ω along the horizontal X-axis in the X-Y plane. When the hoop is at a distance d = $$\sqrt 2 $$ a from the origin, the magnitude of the total angular momentum of the hoop about the origin is
Consider the following statements for a thick-walled cylinder, subjected to an internal pressure: 1. Hoop stress is maximum at the inside radius. 2. Hoop stress is zero at the outside radius. 3. Shear stress is maximum at the inside radius. 4. Radial stress is uniform throughout the thickness of the wall. Which of the above statements are correct?
A rigid body is rotating about its centre of mass; fixed at origin with an angular velocity $$\overrightarrow \omega $$ and angular acceleration $$\overrightarrow \alpha $$. If the torque acting on it is $$\overrightarrow \tau $$ and its angular momentum is $$\overrightarrow {\bf{L}} $$, then the rate of change of its kinetic energy is
The kinetic energy of a man is half that of a boy whose mass is half that of the man. When the man speeds up by 5 m/s, his kinetic energy doubles that of the boy’s kinetic energy. What is the initial velocity of the man?
Statement (I): The term ‘encoder’ is used for a device that provides an analog output as a result of angular or linear displacement. Statement (II): An increment encoder detects changes in angular or linear displacement from some datum position where as an absolute encoder gives the actual angular or linear position.
A road roller has a total mass of 12 tonnes. The front roller has a mass of 2 tonnes, a radius of gyration of 0.4 m and a diameter of 1.2 m. The rear axle, together with its wheels, has a mass of 2.5 tonnes, a radius of gyration of 0.6 m and a diameter of 1.5 m. Calculate total kinetic energy of road roller.
What is the monoisotopic and average mass of valine? Given data: Mass of the most abundant isotope of Carbon (C°)=12.0000, Mass of most abundant isotope of Hydrogen (H°)=1.0078, Mass of most abundant isotope of Oxygen (O°)=15.9949, Mass of most abundant isotope of Nitrogen (N°)=14.0031, The average mass of Carbon (C)=12.011, The average mass of Hydrogen (H)=1.008, The average mass of Oxygen (O)=15.999, The average mass of Nitrogen (N)=14.007.
Match the following Device Conversion of Energy (a) Windmill (i) Chemical Energy to electrical energy (b) Bulb (ii) Kinetic Energy to Electrical Energy (c) Electrical Cell (iii) Sound Energy to Electrical energy (d) Microphone (iv) Electrical Energy to Light Energy
Which of the following statement(s) is/are incorrect? (i) A turbine is called an impulse turbine if at the inlet of the turbine total energy is only kinetic energy (ii) A turbine is called a reaction turbine if at the inlet of the turbine the total energy is kinetic energy and pressure energy (iii) The inward flow reaction turbine having radial discharge at the outlet is known as Kaplan turbine
27°C তাপমাত্রায় একটি গ্যাসের বর্গমূল গড় বর্ণবেগ a msec-1 হলে 927°C তাপমাত্রায় তার বর্গমূল গড় বর্গবেগ (msec-1) কত?