Determine the kinetic energy and potential energy of the system shown in the Figure. Mass of the bar is M. Use rotation of the bar (0) as the generalized coordinate. Assume mass of the springs negligible. المشر L/3 L/3 L/3
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- Find the magnitude of the projected component of the force FB along the line of action of the force Fc Set FB = 720 N and Fc = 400 N %3D В. 2 m FB 3.5 m Fc 0.5 m 1.5 m 1 m 0.5 m 1.5 m The magnitude is N4. A driver initially at rest accelerates her 2000 kg car to a final velocity of 30 m/s. a. What is the kinetic energy of the car at her final velocity? buon't onenia to Toso di 11 xed ots to moues loose otsa tndur g=mbae yd 2-M31 1200 ei snilontodito b. The car travels for a distance of 275 meters. How much force is being applied to the car?Q1// For the system shown below, determine the magnitude & direction of : 1- The resultant force (F ) of the forces F1,F2 & F3 . Where F1= 1ON „F2= 15N „F3= 20N 2- The resultant force (T ) of the forces T1,T2 & T3. Where T1= 25N „T2= 10N ,T3= 15N. 3- The resultant force (R) of two forces F &T. F3 45 60 30 45 T2K F2 ---Y
- Two box hang from the ends of a string suspended from a frictionless pulley. The mass on the left is chosen to create a tension of 4 N in the string. The box on the right has a weight of 2 N. What will be the acceleration of the box on the right? Assume the acceleration of gravity is 9.8 m/s?. 4 N 2 NThe figure below shows the positions of the Centers of mass of the three disks on a rotating shaft. m. =6 kg, M2=4 kg, m3=5 kg, r-=100 mm, r2=200 ver3 = 300. B to dynamically balance the shaft it is desirable to place balancing masses of 3 kg each in their planes. Balancing find the positions of the center of mass (004) of mass A in the unit of cm and degrees. The D value in the figure is 200 mm. mlg my m1 37 53 200 mm 150mm 200 mm ma Please choose one nThe force F is applied at point A and its line of action passes through B. Determine the following: 1. The position vector of point B with respect to point A: rBA = ( i + j + k)m 2. The unit vector in the direction of vector F: u = ( i + j + k) Express your results using three significant figures.
- 1. An automobile weighs 2000 lb. Calculate the weight of the car in N and its mass in kg. 2. What is the acceleration of a car that moves from a speed of 2.5 m/s to a speed of 25 m/s during a time of 6.5 s? 3. An astronaut has a mass of 120 kg. She recedes from her spacecraft using spurts of gas from a small unit on her back. If the force generated by the gas spurt is 50 N, calculate her acceleration. 4. A steady 45 N horizontal force is applied to a 15 kg object on a table. The object slides against a friction force of 30 N Colouloto + he 200eloretien of the obioot1) The figure below shows a system in which mass m2 is added to mass m1 (the spring is not stretched). Answer the following questions about the motion when mass m2 is released freely. However, the mass and moment of inertia of the movable pulley are ignored. M X1 mi m2 X2 1) Show the kinetic energy of the entire system using x1 and x2 (just the answer is enough). 2) Show the relationship between x1 and x2 (just the answer is enough). 3) Find the equivalent mass of the entire system. 4) Show the equation of motion of the system using this equivalent mass. However, assume that the damping is zero. 5) Find the natural frequencyThe force that causes the cart to accelerate along the track was the tension in the string. It was the net force on the cart since the vertical forces on the cart add to zero. How does it compare to the weight of the hanger and mass? Explain why this must be so based on what happened to the hanger and 10 g mass hanger as the cart accelerated along the track. The graph demonstrates change in kinetic energy vs. distance using the 10 g mass hanger.