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- Plot the earths gravitational acceleration g(m/s2) against the height h (km) above the surface of the earth.A shaft 5.0 cm in diameter and rotating at 2,400 rpm, comes to a full stop in 6.0 seconds. It slows down to 1200 rpm during the first 2.0 seconds and comes to a full stop at the end of the sixth second. The acceleration is constant during both segments of the motion. Determine: a.The total number of turns it completes during the 6.0 seconds it is slowing down, b.the distance traveled by a point on the rim of the shaft during this time, and c.the average acceleration during the first 2.0 seconds in rad/s2.An astronaut candidate is to be tested in a centrifuge with a radius of 10 m. He will lose consciousness if his total horizontal acceleration reaches 14g. What is the maximum constant angular acceleration of the centrifuge, starting from rest, if he is not to lose consciousness within 1 min?
- The 100 meter diameter wheel needs to be designed so that it rotates at a constant rate and every complete revolution takes 15 minutes. The wheel has been installed in a vertical plane and the lowest seat is 2m above the ground surface. Each ride consists of only one full rotation. Find a further general expression for the horizontal displacement of the rider from its initial position with respect to both time and angle of rotation and hence determine the speed of the rider when t= 180 sec. Using calculus, determine what the maximum horizontal and vertical speeds of the rider would be and at which points during the ride they occur. State expressions for the acceleration of the rider in both horizontal and vertical directions and show that the resultant acceleration experienced by the rider is independent of where on the ride he/she might be. In designing a new wheel with the same diameter and same ride duration as before it is proposed that the wheel’s angular speed should not…consider the mass and pulley system in the attached file. mass m1 = 29 kg and mass m2 = 12kg. the angle of the inclined plane is given and the coefficient of kinetic friction between mass m2 and the inclined plane is uk = 0.12. assume the pulleys are massless and frictionless what is the acceleration of mass m2 on the inclined plane? take positive acceleration to be up the ramp a2 = ?This most likely is made to be a probelm about mx''+bx'+kx=f(t) m = mass b = friction k = spring constant 4. A mass weighing four pounds stretches a spring 24 in. Suppose the mass is atequilibrium and is set into motion with a velocity of 6 inches per second. The mass is in a mediumwhere friction is small, and we assume it is zero. Note that the acceleration due to gravity near theearth’s surface where the experiment takes place can be taken as 32 ft/s2.(a) Suppose that in addition to the conditions described above, a hammer strikes the mass everyπ/2 seconds starting at t = 0. A delta function with impulse of 1 pound-second models theforce of each blow to the mass. Find the function x(t) for the displacement from equilibrium infeet of the mass at time t in seconds. Express x(t) as a piecewise defined function without the use ofunit step or Heaviside functions and such that in each time window it is a different multiple of the samesinusoidal function.(b) Now assume the same spring-mass…
- Determine the acceleration of body B in Fig. P-1056, assuming the pulleys to be weightless and frictionless. Ans. aB = 5.85 ft per sec2TOPIC: Equation of Motion (NORMAL AND TANGENTIAL) Fn= Man Ft= Mat Given a 1400 kg car that travels along a road with increasing vertical profile y = 0.0003x². If the constant velocity of the car is 30 m/s. of the distance is at 210m, Determine the x-component of the velocity (m/s) of the car. Compute the total force (KN). PLEASE ANSWER WITH A COMPLETE AND DETAILED SOLUTIONS. THANK YOUA 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?
- My calculated value of acceleration is 12.2 m/s^2 when I drop the object from a height of 3 m. And I need help with the question that is in the attached image.What is the difference between velocity and angular velocity?A uniform drawbridge must be held at a 37° angle abovethe horizontal to allow ships to pass underneath. The drawbridge weighs45,000 N and is 14.0 m long. A cable is connected 3.5 m from thehinge where the bridge pivots (measured along the bridge) and pullshorizontally on the bridge to hold it in place. If the cable suddenly breaks, what is the magnitude of the angular acceleration of the drawbridge just after the cable breaks?