A shaft is rotating at a uniform speed with four masses m1,m2,m3 and m4 of magnitudes 300 kg, 450kg, 360kg and 390 kg respectively. The masses are rotating in the same plane. The corresponding radii of rotation are 200mm, 150mm, 250mm and 300mm. The angles made these masses with respect to horizontal are 0°, 45º, 120° and 255° respectively. Find the magnitude and position of balance mass if it radius of rotation is 200mm.
Q: The Moon orbits the Earth at a distance of 3.84 x 10^8 m and with a tangential speed of 1 km/s. If…
A: Given Data radius of orbit , r = 3.84×108 m mass of moon , mn = 7.3×1022 kgtangential speed of moon…
Q: Now we have a rod-shaped space station of length 1017 m and mass 5.55 x 10^6 kg, which can change…
A:
Q: An air puck of mass m1 = 0.28 kg is tied to a string and allowed to revolve in a circle of radius R…
A: Write the given values. m1=0.28 kgR=1.4 mm2=1.4 kg
Q: Now we have a rod-shaped space station of length 1488 m and mass 7.87 x 10^6 kg, which can change…
A:
Q: el airplane of mass 0.700 kg flies with a speed of 35.0 m/s in a horizontal circle at the end of a…
A:
Q: Assume that the box and disk each have mass m, the top of the incline is at height h, and the angle…
A:
Q: Problem 7: Three children are riding on the edge of a merry-go-round that is a disk of mass 102 kg,…
A: Since there is no external torque acting on the system, angular momentum is conserved.Initial…
Q: You are to help design a space probe that will land on Titan, a moon of Saturn. The probe also has…
A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and…
Q: ball of mass 1 kg is attached to an inelastic string of length 500 mm. Find the tension in the…
A:
Q: A pulsar is a rapidly rotating neutron star that emits a radio beam the way a lighthouse emits a…
A: Given Period of rotation for pulsar = T = 0.0985 s Increase rate = 7.64 x 10-8 s/y To find out…
Q: Problem 4: A merry-go-round at an amusement park consists of an outer ring of horses and an inner…
A: (a) Expression for the total moment of inertia of the carousel about its axis, in terms of the…
Q: A uniform ball (sphere) of mass M and radius R rolls down a 16 degree slope. Determine the…
A: Given, Mass of sphere M and radius R and slope is 16 degree
Q: A simple pendulum with a massless string of length = 40cm and bob of mass m = 1.18kg is released…
A:
Q: You are on a Ferris wheel that spins at 1 rpm. The ride is 26.6 m across. What is your apparent…
A: Answer the following question is
Q: Problem 2: A ball of mass m = 2.0 kg is connected to 2 ropes. The two ropes are connected to a pol…
A:
Q: A model airplane of mass 0.700 kg flies with a speed of 35.0 m/s in a horizontal circle at the end…
A: The expression for the required tension is,
Q: A model airplane of mass 0.740 kg flies with a speed of 35.0 m/s in a horizontal circle at the end…
A:
Q: The wheels, axle, and handles of a wheelbarrow weigh W = 57 N. The load chamber and its contents…
A: wheels, axle, and handles of a wheelbarrow weigh, W= 60.0 N. load chamber and its contents weigh,…
Q: A particle with charge q and mass m, initially moving along the x-axis at velocity v enters a region…
A: In the given problem, a particle of charge q is moving along the +x direction, when it enters a…
Q: A mass m rotates at constant speed v at a radius of R from the orational axis. A force F provides…
A:
Q: A 4.00 kg mass is moving in a circular path of radius 3.20 m with a constant linear speed of 6.20…
A: Given data: Mass (m) = 4.00 kg Radius (r) = 3.20 m Linear speed (v) = 6.20 m/s Required: The radial…
Q: The propeller of a 90-horsepower outboard motor at full throttle rotates at exactly 5600 revolutions…
A: given 5600 revolution per minutes in radian per second
Q: Due to the Earth's rotation, when an object is dropped from rest from the top of a high tower, it…
A: Let h denotes the building height, t denotes the time taken to fall freely, and g denotes the…
Q: A 1.75 kg puck is moving in a circular path on a frictionless, flat surface. The puck is tied to a…
A: Given: The mass of the puck: m = 1.75 kg. The length of the connecting string: L = 75.0 cm (0.750…
Q: A (solid) spool of mass M and radius R is supported by an axis about which it can rotate freely. A…
A: In this problem, the rotational kinetic energy is used to displace the mass m by h distance.
Q: Consider a rod of total length 4 m that is free to pivot above its center. The linear mass density…
A:
Q: The diagram shows two masses connected by a massless, stetchless string. The block on the inclined…
A:
Q: A conical pendulum consists of a ball (mass=3 kg) fixed on the end of a massless cord. The ball…
A: The vertical component of the tension in the string balances the weight of the cord.
Q: The propeller of a 90-horsepower outboard motor at full throttle rotates at exactly 4300 revolutions…
A:
Q: A puck of mass m = 1.30 kg slides in a circle of radius r= 22.0 cm on a frictionless table while…
A:
Q: A centrifuge of radius 1.1 m is rotated at 920 revolutionns per minute. What is the force on a…
A:
Step by step
Solved in 2 steps with 2 images
- A tire 1/2 m in radius rotates at a constant rate of 240 rev/min. Use v = rw to find the linear speed in meters/sec of a small stone lodged in the tread of the tire (on its outer edge).A space station consists of two donut-shaped living chambers, A and B, that have the radii shown in the figure. As the station rotates, an astronaut in chamber A is moved 369 m along a circular arc. How far along a circular arc is an astronaut in chamber B moved during the same time if r_a = 266 m and r_b = 165 m? Note: Express your answer in whole numbers. No unit is required for the final answer. Set your calculator in radians. ra A rB B.=J (e) (b) Fe= () 6. A pendulum that consists of a ball (m = 1.50 kg) attached to a light cord rotates in a circular path of radius r = 0.800 m at constant speed v, as shown in Figure. Here the angle 0 = 65°, and we ignore air friction and assume the mass of the light cord is negligible. (a) Calculate the tension T in the cord. = L. (b) Calculate the centripetal force acting on the ball. = 'd (c) Calculate the velocity v of this uniform circular motion. Answers:
- A bucket containing water is tied to one end of a rope 5 m long and it is rotated in a vertical circle about the other end. Find the number of rotations per minute in order that the water in the bucket may not spill.A pulley has a negligible mass (that means, the radius is not relevant). It is supported with a pin at the center (and is free to rotate). A rope goes over the pulley. Block A, which has a mass of 5.723 kg is connected to one side of the rope. On the other side, Block B, with a mass of 12.602 kg is connected. The system is released from rest. What is the speed of block B, after B has traveled 0.716 m? Please enter a positive value in m/s (but without units) regardless of the direction of the motion of BNow we have a rod-shaped space station of length 1296 m and mass 1.43 x 10^6 kg, which can change its length (kind of like an old-fashioned telescope), without changing its overall mass. Suppose that the station is initially rotating at a constant rate of 1.83 rpm. If the length of the rod is reduced to 1.83 m, what will be the new rotation rate of the space station? 1. 3.01 rpm 6.27 rpm 3 3.76 rpm 4 9.41 rpm
- Consider a disc of mass 0.44kg, with radius 0.5 m on a slope with angle 45 degrees to the horizontal. It has a good grip on the slope and does not slip. The disc is constructed so that its mass per unit area, ρ(r) = r1/2 kg m−2, with r being the radial distance in metres from the axis of the disc. What is the acceleration of the disc down the slope?A wind turbine blade with a radius of 38 m and a mass of 1470 kg is rotating at 0.25 rev/s. Assuming all of the mass is located at the end of the blade, what is the net force (in N) acting on the end of the turbine blade? (This net force, supplied by interatomic forces in the metal, is the centripetal force required to keep each atom in circular motion).Two transmission belts pass over a double-sheaved pulley that is attached to an axle supported by bearings at A and D. The radius of the inner sheave is 125 mm and the radius of the outer sheave is 250 mm. Knowing that when the system is at rest, the tension is 90 N in both portions of belt B and 150 N in both portions of belt C,determine the reactions at A and D. Assume that the bearing at D does not exert any axial thrust.