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- A Ferris wheel with radius 30 ft is decelerating such that at t = 0 s, the tangential speed of a point P on the rim is v=10ft/s and dv/dt = ct. c=-0.4ft/s^3 . What is the acceleration of P at t= 3 s?A body moved from rest from Point A at a circular path going to Point B. The radius of the circle is 100 meters. If the angular velocity of the body at Point B is 20 rad per second, compute the linear acceleration of the body at Point B. The central angle of arc AB is 75 degrees.In a pulley system shown, find the tension on the cable and the acceleration of pulley B and the load 5kg. Acceleration of load (al-m/s²) = TENSION (N) = Acceleration of pulley (ag-m/s²) r
- 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?A flywheel 6 ft in diameter accelerates from rest at a constant rate of 4 rpm per sec. Compute the normal and tangential components of the acceleration on the rim of the flywheel after 10 sec.The figure is made of rigid members AB, BC, DE, and EF, whichare pinned at A, B, D, E, and F. End C of member BC is pinned to a block which slides on member DE. For the given position, angular velocity of member AB = 2 rad per sec clockwise and angular acceleration of member AB = 3 rad / s^2 counterclockwise. Find the linear velocity and acceleration of the block at C for this position.
- At the instant shown, the AB bar is rotating counterclockwise with speed and acceleration angles shown in the figure. Determine the (linear) speed and acceleration of the sliding block C at that instant.Magnetic tape is being fed over and around the light pulleys mounted in a computer. If the speed v of the tape is constant and if the magnitude of the acceleration of point A on the tape is 4/3 times that of point B, calculate the radius r of the smaller pulley.In the given figure, A link OB is rotating with a constant angular velocity of 2 rad/s in counter clockwise direction and there is a block is sliding radially outward on it with an uniform velocity of 0.75 m/s with respect to the rod, If OA = 1m , find the magnitude of the absolute acceleration of the block at location A ?
- The mechanism shown is used in a distribution center to push boxes along a platform. The input link is driven by an electric motor which, at the instant shown, has a speed of 25 rad./s and accelerates up to 500 rad./s2. If the input link is 250 mm long and forms a 40 degree angle with the horizontal, determine the instantaneous acceleration of the input link end at the position shown (Point A).Question 8 A car is traveling around a circular track of 680-ft radius. If the magnitude of its total acceleration is 9.5 ft/sec2 at the instant when its speed is 40 mi/hr, determine the rate at at which the car is changing its speed.A wheel and a connected pulley are rotating around a fixed shaft "O" and driven by a belt. At a specific moment, the velocity of point "A" on the belt is 0.6 m/s, and its acceleration is 2 m/s², both in the directions shown in the diagram. Calculate the magnitude of the total acceleration of point "B" on the wheel at this moment.