# Physics

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Solution Library **

#### Calculate Cable Tension Required To Hold A Scoreboard In A Stadium

Question A basketball scoreboard that weighs 9 kN is to be hung from the roof frame of an indoor stadium using a cable ABC. The ends of the cable are attached to hinges at points A and C. Before the scoreboard is attached at B, the midpoint, cable ABC is slightly slack (i.e. it is longer than 3 met ... Read More

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#### Calculate Reaction At Supports For Beam Supporting Uniformly Distributed Weights

Question A beam of length 8m is simply supported at its end as shown in figure.The whole beam carries a Uniformly Distributed Load(UDL) of 10 kN/m together with two point loads of 120 kN and 80 kN. The 120 kN load is at a distance of 2.5m from the left-hand support and the 80kN load is at a distanc ... Read More

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#### Calculate Greatest Point Of Load Applied At Centre Of Steel Cylindrical Tube

Question A steel cylindrical hollow tube, with outside diameter of 16cm and a thickness of 20mm is used as a beam over a span of 6m, being simply supported at its ends. The maximum bending stress of the tube is 125MPa. Neglecting the mass of the mass of the tube, determine the greatest point load t ... Read More

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#### Calculate Least Radius Of Gyration and Slenderness Ratio Of Concrete Column

Question A hollow concrete column has a rectangular cross-section with an external breadth of 300mm and an external depth of 600mm.The internal breadth is 240mm and the internal depth is 520mm.The compressive resistance of the concrete is 200 N/mm2.If the effective height of the concrete column is ... Read More

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#### Calculate Maximum Stress And Angle Of Twist In Degrees For Cylindrical Shaft

Question A 1.5m long cylindrical shaft has an external diameter of 60mm and an internal diameter of 30mm.The shaft is subjected to a torque of 1200-Nm.If the modulus of rigidity of the shaft material G is 90 GPa, calculate: (i) The maximum shear stress (ii) The angle of twist in degrees Summary ... Read More

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#### Calculate Maximum Power Transmitted And Angle Of Twist In Degrees For Solid Steel Shaft

Question A solid steel shaft 3m long with a diameter of 5mm is to transmit power at a rotational speed of 800rpm.The modulus of rigidity of the shaft material G is 90 GPa. If the maximum stress is limited to 60MN/m2 determine the following. (i) The maximum power that could be transmitted (ii) The ... Read More

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#### Calculate Change In Acceleration Of Particle Moving In Straight Line

Question A particle is initially at rest at point A on a straight line ABCD. The particle moves from point A to B with uniform acceleration, reaching B with the speed of 12m/s after 2 seconds. The acceleration then alters to a constant 1m/s2 and 8 uniformly to come to rest at D after further 10 sec ... Read More

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#### Calculate Velocity Of Cards And Loss Of Kinetic Energy After Cars Impact

Question A car of mass 1200kg traveling with a velocity of 30 meters per second collides head on into a stationary car which has a mass of 800kg.After the impact the two vehicles lock together and move in the same direction as the 1200kg car. (i) What is the velocity of the cars after the impact? ... Read More

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#### Calculate Velocity Of Train At Instant It Strikes Buffers And Strain Energy Gained By Buffers

Question A train of mass 15000kg is brought to rest when striking the buffers of a terminus. The buffers consist of two springs in parallel as shown in Figure5(b).The spring constant of each spring is 120kN/m. The springs are compressed by 0.75m when the train is brought to rest. Assuming that ther ... Read More

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#### Calculate Maximum Acceleration, Maximum Velocity And Maximum Kinetic Energy For Piston

Question A piston of mass 0.2kg moves with simple harmonic motion. If the amplitude of the piston oscillation is 70mm and its period of oscillation is 0.1 second, calculate: (i) The maximum acceleration (ii) The maximum velocity (iii) The maximum kinetic energy. Summary The question be ... Read More

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#### Calculate Velocity Of Mass When It Passes Through Mid Position Of Its Oscillation

Question A body of mass 2kg hangs from a spiral spring. When the mass is pulled down 10cm from its rest position and released. It vibrates with simple harmonic motion. The frequency of oscillation is 2.5 Hz. Calculate: (i) The velocity of the mass when it passes through the mid-position of its osc ... Read More

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#### Calculate The Air Volume In A Room

Question Estimate the volume of air in Room 51.6.09. Include an estimate of the error in the volume. Summary The question belongs to Physics and it is about calculating the volume of air in a room along with error in the volume. Total Word Count 93 ... Read More

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