A physical pendulum is constructed such that two spheres of different radii are welded together. A rod is then welded to the top of these two spheres as shown. The length of the rod is 2.90 m while the mass is 2.00 kg. The radius of the small (upper) sphere is 0.790 m with a mass of 8.20 kg. The radius of the lower (larger) sphere is 0.960 m with a mass of 11.6 kg. The entire system is hung from the end of the rod. a. what is the distance from the pivot point to the center of mass of the system? b. what is the period of oscillation of the pendulum?

A physical pendulum is constructed such that two spheres of different radii are welded together. A rod is then welded to the top of these two spheres as shown. The length of the rod is 2.90 m while the mass is 2.00 kg. The radius of the small (upper) sphere is 0.790 m with a mass of 8.20 kg. The radius of the lower (larger) sphere is 0.960 m with a mass of 11.6 kg. The entire system is hung from the end of the rod. a. what is the distance from the pivot point to the center of mass of the system? b. what is the period of oscillation of the pendulum?

Related questions

Q: A small ball of mass 1.5 kg is attached to one end of a 2.00-m-long massless rod, and the other end…

A: Given Data Mass of the ball is m=1.5 kg Length of the rod is L=2.00 m Angle of the pendulum is θ=32°…

Q: A small ball of mass 1.5 kg is attached to one end of a 1.50-m-long massless rod, and the other end…

A: Mass, m = 1.5 kg Length, L = 1.50 m Angle from vertical, θ = 38° Torque, τ = ?

Q: When a hanging toy shoe (25 g) starts swinging on a rope, it is in resonance with a 14 cm long…

Q: A giant toy car with big wheels has a total mass (including the wheels) of 0.21 kg. The car has 4…

A: Given data: Mass of the car, m=0.21 kg Radius of each wheel, r=3.3 m Moment of inertia of each…

Q: A conical pendulum makes an angle with the horizontal of 10 degrees. The distance between the mass…

A: (a) The tension in the chord is, Substitute the values,

Q: small ball of mass 1.4 kg is attached to one end of a 1.70-m-long massless rod, and the other end of…

A: small ball of mass 1.4 kg is attached to one end of a 1.70-m-long massless rod, and the other end of…

Q: A small ball of mass 1.3 kg is attached to one end of a 1.70-m-long massless rod, and the other end…

Q: A meter stick is pinned at a point halfway between one end and the center of mass. The moment of…

Q: 500 mm 10.0 cm (hrw8c15p43) A pendulum consists of a uniform disk with radius 10 cm and mass 650 g…

A: Solution:-Given thatradius (R)=10 cm=0.1 mmass (M)=650 g=0.65 kglength of rod (L)=500 mm=0.5 mmass…

Q: An 12 lb ball attached to the end of a 14 ft long string is rotating as a conical pendulum. If it…

Q: A simple pendulum has a mass of 2 kilograms and a length of 1.2 meters. It is displaced at an angle…

A: Given: mass = 2 Kg Length = 1.2 m angular displacement = 0.15 radians To…

Q: A 1.08 kg mass is attached to a spring of force constant 10.8 N/cm and placed on a frictionless…

Q: A 1.01 kg mass is attached to a spring of force constant 10.4 N/cm and placed on a frictionless…

Question

a. what is the distance from the pivot point to the center of mass of the system?

b. what is the period of oscillation of the pendulum?

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step 3

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 3 steps

SEE SOLUTION Check out a sample Q&A here

Similar questions

A small ball of mass 0.90 kg is attached to one end of a 1.20-m-long massless rod, and the other end of the rod is hung from a pivot. When the resulting pendulum is 23° from the vertical, what is the magnitude of the torque about the pivot?
Engineers are designing a system by which a falling mass m imparts kinetic energy to a rotating uniform drum to which it is attached by thin, very light wire wrapped around the rim of the drum (the figure (Figure 1)). There is no appreciable friction in the axle of the drum, and everything starts from rest. This system is being tested on earth, but it is to be used on Mars, where the acceleration due to gravity is 3.71 m/s2. In the earth tests, when m is set to 13.0 kg and allowed to fall through 5.00 m, it gives 300.0 J of kinetic energy to the drum. If the system is operated on Mars, through what distance would the 13.0-kg mass have to fall to give the same amount of kinetic energy to the drum? How fast would the 13.0-kg mass be moving on Mars just as the drum gained 300.0 J of kinetic energy?
A hollow cylinder of mass M1 and radius R1 rolls without slipping on the inside surface of another hollow cylinder of mass M2 and radius R2. Assume R1<<RZ. Both axes are horizontal, and the larger cylinder is free to rotate about its axis What is the angular velocity or frequency of small oscillations
A large solid disk with radius rb= 1.1m has a second, smaller solid disk with radius rs= 0.32m and mass ms= 3.5kg attached to it. Wrapped around the smaller disk is an ideal string with a hanging mass mh= 2.3kg attached to it. The hanging mass starts out a distance yi= 5.2m above the ground as shown in Figure 1, and falls towards the ground with constant speed. a) What is the torque about the center of the pulleys? Remember torque is a vector. b) What should the mass of the larger pulley be such that the system of pulleys has an angular acceleration of α = 1.2rad/s ? c) How long will it take the hanging mass to hit the ground?
A uniform bar has a length of 1m, and a mass of 5kg. If a 10 kg mass is attached to one end of the bar (at x=0), and a 30 kg mass is attached to the other end (at x=1m). The center of mass is closest to which point? x=0m x=0.3 m x=0.33 m x=0.5m x=0.67 m x=0.70 m x=1.00 m
A pendulum's angular position is given by ?= 0.0340 cos (?t), where ? is in radians and ? = 6.23 rad/s. Find the period (in s) and length (in m) of the pendulum.
A coin having a mass of m = 12 g, a thickness of h = 0.17 cm, and a radius of r = 1.5 cm has a small hole drilled through it so that it can be suspended from a thin wire and worn as an earring or pendant. The hole is at a distance of 7/8 r from the center of the coin as shown above. When suspended from this hole, the coin is a physical pendulum that swings back and forth with this hole as its axis of rotation. Assuming that the hole does not appreciably change the center of mass of the coin, determine the period of this physical pendulum.