A physical pendulum consists of 5 solid metal spheres of diameter 80.0cm and mass 50.0kg apiece all welded in a straight line. The pendulum is allowed to oscillate around the center of the topmost sphere as the axis of rotation. Determine the period of the pendulum on Earth. (hint: calculate moment of inertia of the pendulum and the location of its center of mass)
A physical pendulum consists of 5 solid metal spheres of diameter 80.0cm and mass 50.0kg apiece...
(30) A complex object consists of four hollow plastic spheres of radius 0.100 m and mass 0.265 kg, arranged in a square, connected by thin metal rods of length 0.200 m and mass 0.528 kg. The object is rotated around the center of mass of one of the spheres. What is the moment of inertia of the object? Axis of rotation 0.2 m
A barbell in the weight room consists of a pair of spheres of diameter d and mass M. They are separated by a rigid massless rod of length L. (a) with the origin chosen at the middle of the rod, calculate the moment of inertia tensor of the barbell. Provide reasoning for any choices you make. (b) The barbell is suspended horizontally at the center of the rod by a flexible and massless cord and is at rest along the...
Nine hollow metal spheres are attached together in a 3 times 3 square in one plane. Each sphere has a radius of 11.0 cm, and a mass of 435 gm. The object is rotate around an axis through the center of the middle sphere in the plane of the square. What inertia of moment of the inertia of the object in units of kg-cm^2?
3) A pendulum consists of a solid spherical mass of mass 3m and radius R whose center is attached to the end of a uniform rod of mass m and length 4R which is pivoted about an axis at its end. a) The pendulum is constructed with a sphere of mass 1.5 kg and radius 15 cm, rod of mass .50 kg and length 60 cm. The mass swings in simple harmonic motion of maximum amplitude of /6 radians. Find...
This part consists of two spheres attached to the ends of a thin rod. Each sphere has a mass of 120 kg, and the rod has a mass of 7 kg. The dimensions shown are in meters. RO.15 RO. 15 G. 0.70 a) b) Find the mass moment of inertia about the x-axis, which passes through the center of mass G. Find the mass moment of inertia about the x-axis, which passes through point A.
A compound pendulum is made up of a rod of length L, with mass M and a solid sphere of radius r, with mass m (see figure below). The pendulum is pivoted about one end and released from rest from and angle of 0, (angle with the vertical). (a) Find the distance, dom, of center of mass of this pendulum from its pivot. (b) Draw a free body diagram and write down Newton's 2nd Law (for rotation) for the pendulum...
Find the moment of inertia of a solid sphere (mass M, radius R) around a diameter. Do this by slicing the sphere into disks.
Find the moment of inertia of a solid sphere (mass M, radius R) around a diameter. Do this by slicing the sphere into disks.
diameter 9cm mass of rodis og kg M=lo Nm diameter ben 1 kg 2kg In the given question the applied moment is 10 Nm clockwise as shown in Figure. Please note that pin joint is right at the center of the rod! The moment of inertia of a sphere about its center of mass is given as 2 mR? Moment of inertia about another 5 point of rotation is given as 2 mR + maa where 'd is the distance...
A physical pendulum of 1 kg of mass oscillates in a simple harmonic movement, with a period of π sec. The distance from the center of mass to the axis of rotation is 40 cm. What is your moment of inertia with respect to the center of mass? (consider g = 10 m/s^2)? a) 0.66 kg•m2 b) 1 kg•m2 c) 0.46 kg•m2 d) 0.84 kg•m2 e) 1.16 kg•m2