4- Calculate the coefficient of three different objects that start moving at the following angles: 15 degrees, 36 degrees, and 70 degrees at the same surface.
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- A block of mass 10 kg rests on a horizontal floor. The acceleration due to gravity is 9.81 m/s2 .The coefficient of static friction between the floor and the block is 0.2. A horizontal force of 10 N is applied on the block as shown in the figure. The magnitude of force of friction (in N) on the block is _______....A steam engine develops power at mean torque of 19,000 N-m and velocity of 10 m/s. The mean diameter of the flywheel rim is 1.2 meters. The coefficient of fluctuation of speed is 0.03 and the coefficient of fluctuation of energy is 0.21. Determine the thickness of the rim in mm if the width of the rim is twice of its thickness. Assume density of rim material as 7250 kg/m3.1. A room has a pine ceiling (k = 0.12 WI(m-Cº) ] that measures 3.0 m x 4.0 m 2.0 cm. On a cold day, the temperature inside the room is 20°C, and the temperature in the attic above is 8°C. If 6.0 cm of glass wool insulation ( k = 0.042 WI(m.Cº) ] were put in above the ceiling, how much energy would be saved in one hour? 2. 2.0-kg block moving with an initial speed of 5 m/s slides on a rough table and is stopped by the force of friction. Assuming that the table and air remain at 24°C, calculate the entropy change of the universe.
- A manufacturer is carrying out a vehicle performance analysis and subjects to a road test. The vehicle is driven along a horizontal road at velocity V. The vehicle weighs 1.79tons and for each wheel the radius is 0.31m and the MMofI is 5.53kgm2. The coefficient of friction between the wheels and the road surface is 0.43. Given g=9.81m/s2 and the length between the center of rear and front wheel is 3.9m. The height of center of gravity is 0.95m while its horizontal distance to the center of rear wheel is 1.72m. If only the front wheels are locked and there is no rear wheel braking, calculate the deceleration (m/s) of the vehicle. Submit your answer as a positive value.In the given figure below, a 3kg block is sliding down a 60 degree rough incline. The speed of the block is 1.68 m/s at the instant it is 5.25m from an uncompressed spring located at the other lower end of the incline. The spring has a spring or stiffness constant of 120 N/m and the coefficient of kinetic friction between the block and the incline is 0.35. At what speed will the block strike the spring?Two boxes of masses m and M are moving on a horizontal rough plane and are in contact to each other. The 2 dynamic friction coefficients are µkm and µKM respectively. A horizontal force F is applied to M, on the side opposite to that one in contact with m, which pushes M against m. Apply the basic concepts of dynamics and to draw the free body diagram of the boxes and find the value of their acceleration. The given data is as follows: m=1 [kg] M=5 [kg] F=670N µkm=0.4 µkM=0.45
- The 10 N cylinder moves in a friction tube. Spring constants are k1 = 150 N / m and k2 = 200 N / m. When the system is at rest, d = 0.5 m. The system rotates around a fixed z-axis. In the case where d = 0.12 m, what is the coefficient of friction for the cylinder to have a constant velocity of 9.825 m / s?A 200-kg log is pulled up a ramp by means of a rope that is parallel to the surface of the ramp. The ramp is inclined at 34.5° with respect to the horizontal. The coefficient of kinetic friction between the log and the ramp is 0.870, and the log has an acceleration of 0.750 m/s2. Find the tension in the rope.Khufra works at a spring factory and he was assigned to test a certain spring, whose constant is 50 N/m attached to a 50-kg block in an incline (©=30°). With the spring initially at equilibrium position, the block was pushed 0.3 meters up the incline by a 50-N external force applied parallel to the path. The coefficient of kinetic friction is 0.30. d) How much work is done by the block (in Joules) on the spring? e) How much work is done by the applied push on the block? f) How much work is done by friction?
- A. A motorcycle and rider have a combined mass of 350kg. The wheels each have a mass of 20kg, diameter of 500mm and radius of gyration of 200mm. The rider accelerates uniformly from 5m/s to 25m/s over a distance of 100m, whilst climbing a hill of slope 1 in 20. The average resistance to motion, including drag, is 105 N. 1. Determine the total work done as the motorcycle ascends the incline. 2. Calculate the amount of power developed during the climb. B. At another point in its journey, the motorcycle and rider travel at 80 km/h around a left-hand bend of radius 30m. Calculate: 1. The angular velocity of each of the wheels. 2. The moment of inertia of each wheel. 3. The magnitude and effect of the gyroscopic torque produced on the bike.One end of a horizontal spring with force constant 130.0 N/m is attached to a vertical wall. A 4.00 kg block sitting on the floor is placed against the spring. The coefficient of kinetic friction between the block and the floor is mk = 0.400. You apply a constant force F to the block. F has magnitude F = 82.0 N and is directed toward the wall. At the instant that the spring is compressed 80.0 cm, what are (a) the speed of the block, and (b) the magnitude and direction of the block’s acceleration?A homogenous ladder 10m long and weighing 35 kg leans against a vertical wall. The angle between it and the floor is 60 degrees. The coefficient of friction of the ladder against the ground as well as the wall is 0.25.1. How far up the ladder measured from the ground can a 70-kg man climb before it starts to slide? a. 5.506 mb. 6.671 mc. 4.493 md. 3.806 m2. Compute the reaction at the wall when it starts to slide. a. 17.59 kgb. 25.27 kgc. 29.66 kgd. 28.67 kg3. Compute the reaction between the ground and the ladder when it starts to slide. a. 88.82 kgb. 126.72 kgc. 112.7 kgd. 101.88 kg