ass center G so that it rolls completely around the loop of radius (R+r) without ving the track. (20%) NG son Figure 5 @
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a ball of mass m and radius r is cast onto the horizontal surface such that it rolls without slipping as shown in image, determine the minimal Vo of its mass center G so that it rolls completely around the loop of radius (R+r) without leaving the track
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- a 0.400 kg ball is shot directly upward at initial speed 76.5 m/s. What is its angular momentum about P, 8.72 m horizontally from the launch point, when the ball is (a) at maximum height and (b) halfway back to the ground? What is the torque on the ball about P due to the gravitational force when the ball is (c) at maximum height and (d) halfway back to the ground? i need the answered to dA uniform solid sphere of radius r is placed on the inside surface of a hemispherical bowl with radius R. The sphere is released from rest at an angle θ to the vertical and rolls without slipping (Fig.). Determine the angular speed of the sphere when it reaches the bottom of the bowl.A ball that is a uniformly hollow spherical shell with a mass of m and radius r rolls down an inclined plan without slipping. The inclined plane is at an angle theta from horizontal and has a length L. What is the speed at the bottom for the ball?
- Suppose a 0.250-kg ball is thrown at 15.0 m/s to a motionless person standing on ice who catches it with an outstretched arm as shown , given mass is 70kg What is his angular velocity if each arm is 5.00 kg? You may treat the ball as a point mass and treat the person's arms as uniform rods (each has a length of 0.900 m) and the rest of his body as a uniform cylinder of radius 0.180 m. Neglect the effect of the ball on his center of mass so that his center of mass remains in his geometrical center.A uniform, solid cylinder with mass M and radius 2R rests on a horizontal tabletop. A string is attached by a yoke to a frictionless axle through the center of the cylinder so that the cylinder can rotate about the axle. The string runs over a disk-shaped pulley with mass M and radius R that is mounted on a frictionless axle through its center. A block of mass M is suspended from the free end of the string (the figure (Figure 1)). The string doesn't slip over the pulley surface, and the cylinder rolls without slipping on the tabletop. Find the magnitude of the acceleration of the block after the system is released from rest. Express your answer in terms of g, M, R.A small sphere of radius ro = 1.5 cm rolls without slipping on Γο the inside of a track of radius R₁ = 26 cm. If the small sphere starts from rest at the vertical edge of the track, (a) what will be its speed when it reaches the lowest point of the track? When it leaves the track after passing through an angle of 135°, (b) what will be its speed, and c) at what distance D from the base of the track will the sphere hit the ground? (The rotational inertia of a small sphere about its center of mass is I=2mr2/5. Ro 135° Ro. D Hint: Don't forget the radius of the sphere when looking at gravitational potential energy! (a) v1.85 m/s, (b) v' = 1.56 m/s, c) D= 0.478 m.