Module 3: ROTATIONAL KINEMATICS Reference Book: Properties of Matter – Dr. Tofazzal Hossain MOMENT OF INERTIA: According to Newton’s first law of motion‚ “a body must continue in its state of rest or of uniform motion along a straight line‚ unless acted upon by an external force.” This inertness or inability of a body to change by itself its position of rest or of uniform motion is called inertia. Exactly in the same manner‚ in case of rotational motion‚ also we find that‚ a
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6.1 SOLUTIONS TO CONCEPTS CHAPTER 6 1. Let m = mass of the block From the freebody diagram‚ R – mg = 0 R = mg ...(1) Again ma – R = 0 ma = R = mg (from (1)) a = g 4 = g = 4/g = 4/10 = 0.4 The co-efficient of kinetic friction between the block and the plane is 0.4 2. Due to friction the body will decelerate Let the deceleration be ‘a’ R – mg = 0 R = mg ...(1) ma – R = 0 ma = R = mg (from (1)) a = g = 0.1 × 10 = 1m/s2. Initial velocity u = 10 m/s Final
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structural responses measured from the Center (350 m high‚ 79 floors) in Hong Kong‚ during the passages of three typhoons. The field data such as wind speed‚ wind direction and acceleration responses‚ etc.‚ were continuously measured from the super-tall buildings during the typhoons. The simultaneously measured wind-induced acceleration was adopted to evaluate the dynamic characteristic and wind effect on this super tall building. The damping ratio with amplitude-dependent behavior was found by the random
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changes when the objects motion changes usually by the pushing and pulling of the motion on that object. Force incorporates the law of acceleration ‘The acceleration of a body is proportional to the magnitude of the force causing it and takes place in the direction in which the force acts.’ (Kiss et. al‚ 2010) For motion to occur the racquet head must have acceleration to go through the ball. Force is essential to initiate a good powerful serve. When it comes to my serving ability‚ I believe that I’m
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box B and the masses of A and B are 5 kg and 10 kg respectively. If all surfaces are smooth‚ what are the accelerations of A and B when 15 N applies on B horizontally? Acceleration of A Acceleration of B A 1 m s2 1 m s2 B 0 1.5 m s2 C 1.5 m s2 1.5 m s2 D 0 1 m s2 Q4. A 3-kg box is pushed by a horizontal force of 21 N. The box moves horizontally with an acceleration of 4 m s–2. What is the frictional force acting on the box? A 6 N B 8 N C 9 N D 12 N Q5. In the figure
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contains two different masses attached. We used the height (0.824m) of the Atwood machine‚ and the average time (2.15 s) the heavier weight took to hit the bottom‚ to calculate the acceleration (0.36 m/s^2) of the Atwood machine. Once the acceleration was obtained‚ we used it to find the angular acceleration or alpha (2.12 rad/s^2) and moment of force(torque) of the Atwood machine‚ in which then we were finally able to calculate the moment of inertia for the Atwood machine. In comparing
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On our trip to Thorpe Park we experienced the thrills of the rides and were given a talk explaining the science behind them. This will hopefully explain more about the science behind the rides. Firstly the physics behind the rides. The acceleration is what makes rollercoasters so fun and enjoyable and I’ll now explain why they accelerate so quickly. The purpose of the coaster’s initial ascent is to build up its potential energy. As the coaster gets higher in the air‚ gravity can pull it down a
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converted to potential energy‚ which will be released when the marble goes down the other side. Acceleration An object is accelerating if it is speeding up‚ slowing down‚ or changing direction. All roller coasters have acceleration. If you get faster while going down a hill‚ you are accelerating. If you get slower while going uphill‚ you are decelerating‚ which is still a form of acceleration. Acceleration of a roller coaster depends on the mass of the roller coaster and how strong the force is that
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____________________________. 8. The greater the force that is applied‚ the ____________________ the acceleration. 9. The lesser the force that is applied‚ the _____________________ the acceleration. 10. If the same force is applied to an object with a large mass‚ it will have a _______________________ acceleration. 11. If the same force is applied to an object with a small mass‚ it will have a _______________________ acceleration. 12. The equation that is used to solve second law problems is F = ma. a. What
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http://phet.colorado.edu/simulations/sims.php?sim=Ladybug_Motion_2D and click on Run Now. Directions: 1. A Labybug was crawling in a circle around a flower like in the picture below. a. Sketch what you think the velocity and acceleration vectors would look like. b. If the flower is the “zero” position‚ what would the position vector look like? c. Use Ladybug Motion 2D to check your ideas. Make corrections if necessary 2. Suppose the bug crawled along
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