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- Jeremy is piayıng Wth ayoya 07 mass mo-aa grams The yo4o String is let aut to length rs=58 am,and hespins the yoyo in a horizontalc\Ycie at a cotant rate 07 Wo=5,6 rads sec. The YOYO String makes an ang le 07 es With the horizontal1 calculate thetension inthe string T in newtons-A solid cylinder (r= 4cm) goes down a ramp at a declination of 20°. The longitude of the ramp is 75 cm and 20 cm high. On average, the cylinder takes 1.25 s to go down the ramp. Without specifying the value of the mass determineWhat is the acceleration of the center of mass?What is the angular acceleration of the object?What is the moment of inertia of the object?What is the value of the radius of gyration?Aeronautical engineers measure the pitching moment M0of a wing and then write it in the following form for use inother cases:M0 =βV2 AC ρ where V is the wing velocity, A the wing area, C the wingchord length, and ρ the air density. What are the dimensionsof the coeffi cient β ?
- Prove that the pressure at a point is equal in all directions for a fluid at rest with respect to thestationary Cartesian coordinate system XYZ. Comparatively analyse also the definitions of stress andpressuref jon The pilot of a crippled jet was able to control his plane by throttling the two engines. The plane has a weight of 17000 lb and a radius of gyration of kg = 4.7ft about the mass center G. Originally the plane is flying straight at a speed of 1200 ft/s. Neglect the effects of 5000 lb as shown, determine: drag and the loss of fuel. If the thrust in each engine is altered to T₁ = 800 lb and T₂ Remark: The counterclockwise sense is the positive sense. 1.25 ft T₂ 1.25 ft T₁ 1:21:02 7If the weight of the container is 100kg. What a ere the tensions of cables AB, AC, and AD Also how do you know the coordinates. How do you know if they are negative or positive? Please explain why they are negative or positive and how do you find them(the coordinates)
- Prove that the pressure at a point is equal in all directions for a fluid at rest with respect to the stationary Cartesian coordinate system xyz. Comporatively analyse also the definitions of stress and pressure.The opposite figure is composed of a rectangle (b=16.8 , h=8.4 m , density 8 kg/m? ) and a triangle (b=16.8 , a=4.2 m , density 16 kg/m² ). The mass of total shape is Y E a TD h X b/4 h/3 А В bSoved If the pressure in container A in the given image is 538.55 kPa, compute the pressure in container B. Take the density values at 20°C. Water 18 cm Oil, SG = 0.8 16 cm 22 cm Mercury 8 cm 520 kPa
- B4) Find The magyitude and dicedtion o) The Sorce exorted ow T Rlade shown oulow-low axel (F T “lepe avgle (0= 1207 The. velocihy Vi=e= 30w, and The Mschange (1ob [$e)? NS -As the temperature of the hydrogen gas decreases of same gas decreases. Surface tension O Specific volume O Capillarity O VviscosityA two-dimensional fluid element of dimensions dx and dy translates and distorts as shown, during the infinitesimal time period dt = t2 − t1. The velocity components at point P at the initial time are u and ? in the x- and y-directions, respectively. Show that the magnitude of the rate of rotation (angular velocity) about point P in the xy-plane is