A 1.40 m long uniform bar with a mass 0.50 kg is on a horizontal surface and is free to rotate about an axis perpendicular to the page and passing through its left end. A force F of magnitude 10.0 N is applied to the bar as shown below. Given that 40°, determine the angular acceleration of the bar. Take +z to be out of the page. F Pivot 3L/4 +z is out of the page +X
Q: The uniform thin rod in the figure below has mass M = 5.00 kg and length L = 3.45 m and is free to…
A:
Q: A solid cylindrical disk has a radius of 0.11 m. It is mounted to an axle that is perpendicular to…
A: The objective of the question is to find the mass of the disk. We can use the formula for torque (τ…
Q: As the figure shows, a homogeneous rod of mass 1kg and length L = 2 m is nailed to the wall at its…
A: We will first write an expression for torque and use it to find the net torque due to three given…
Q: A top is a toy that is made to spin on its pointed end by pulling on a string wrapped around the…
A: Given that: Radius of the circle, r=2.3 cmLength of the string, L=74 cmAngular acceleration, α=+13…
Q: A 13.0-m length of hose is wound around a reel, which is initially at rest. The moment of inertia of…
A: length of hose = 13 m moment of inertia = 0.56 kg m2radius = 0.16 m torque = 3.2 N.m Tension = 25 N…
Q: A slender rod is 90.0 cm long and has mass 0.120 kg. A small 0.0200 kg sphere is welded to one end…
A:
Q: FB = 50 N 160° FA = 50 N RB 30° RA 38 J
A:
Q: Let F be a force acting on an object, and let r be a position vector from a rotational center to the…
A:
Q: In the figure, two particles, each with mass m = 0.80 kg, are fastened to each other, and to a…
A: mass of particles , m = 0.8 kg mass of rod , M = 1.1 kg Angular speed , ω = 0.34 rad/s d = 5.4 cm =…
Q: d) Calculate the time it takes for each disk to roll. e) What is the total kinetic energy for each…
A:
Q: A woman opens a 1.35 m wide door by pushing on it with a force of 59.5 N directed perpendicular to…
A: Given The width of the door is r = 1.35 m. The force applied on the door is F = 59.5 N. The angle…
Q: An athlete at the gym holds a 2.0 kg steel ball in his hand. His arm is 70 cm long and has a mass of…
A:
Q: The length of the bar AP is 750mm. The radius of the pulley is 125mm, Equal forces T-75N are applied…
A:
Q: A doctor opens a 1.15 m wide door by pushing on it with a force of 45.5 N directed perpendicular to…
A:
Q: FRQ #2 A kitty is hanging from a string attached to a thin hoop of mass M and radius R = 1/2, with…
A:
Q: A uniform rigid rod initially at rest has length L = 100 cm and mass MR = 0.500 kg. The rod hangs…
A: First, determine the moment of inertia (I) of the structure by using the individual moments (IR and…
Q: A uniform rod of length 1.44 m is attached to a frictionless pivot at one end. It is released from…
A: Part a Equation for the initial torque(τi) of the rod.part bthe correct expression for the moment of…
Q: A door has a width of 1 m. The hinge attaches the door on the left. This time, Andrea pushes on the…
A: Given, Width, d= 1m, Force, F= 30 N, and angle, θ= 900.
Q: A hollow, spherical shell with mass 2 kg rolls without slipping down a 37 slope. The acceleration…
A: The acceleration for the hollow sphere is given as a=35gsinθ
Q: A 9.75 m ladder with a mass of 21.7 kg lies flat on the ground. A painter grabs the top end of the…
A: Write the given values with the suitable variables. l=9.75 mm=21.7 kgP=245 Nα=1.8 rad/s2 Here, l, m,…
Q: A wheel is rotating clockwise on a fixed axis perpendicular to the page (x). A torque that causes…
A:
Q: A uniform spherical shell of mass M = 12.0 kg and radius R = 0.710 m can rotate about a vertical…
A: We will use Law of conservation of energy : 12mv2+12Iω2+12Isω22=mgh v= ωr=ω2R I of pulley = 0.0980…
Q: A uniform spherical shell of mass M = 3.8 kg and radius R = 7.6 cm can rotate about a vertical axis…
A:
Q: A playground carousel is rotating counterclockwise about its center on frictionless bearings. A…
A: To find the final angular speed of the carousel after the person climbs aboard, we need to apply the…
Q: A door has a width of 1 m. The hinge attaches the door on the left. Andrea pushes on the right end…
A: Given: The width of the door is d = 1 m The force applied on the door by Andrea is FA = 30 N The…
Q: A solid sphere of mass M and radius R rolls without slipping down a rough incline that makes an…
A:
Q: A yo-yo is constructed of two brass disks whose thickness b is 8.5mm and whose radius R is 3.5cm,…
A: Given: Thickness of disk b = 8.5 mm. Radius of disk R = 3.5 cm. Radius of short axle Ro = 3.2 mm.
Q: A thin spherical shell has a radius of 1.90 m. An applied torque of 1100 N-m gives the shell an…
A:
Q: The figure shows a rigid assembly of a thin hoop (of mass m = 0.28 kg and radius R = 0.13 m) and a…
A:
Q: ove the horizontal by a horizontal wire that runs between the wall and the right-hand end of the…
A: We know that the law of conservation of energy is given as According to this law, the energy never…
Trending now
This is a popular solution!
Step by step
Solved in 2 steps
- The 12 kg disk with a radius of 650 mm is rolling while slipping under the constant force of 210 N through the handle as shown. If the wheel has mass center at a point G and the radius of Gyration is Tg rg = 300 mm, determine the linear acceleration of its mass center. The coefficient of kinetic friction between the wheel and the ground Mk = 0.28. 210 N G 15°An 80 cm long thin rod whose axis of rotation is in the center has a mass of 0.142 kg. A 2.5 N force is applied at one end perpendicularly, while a second 1.5 N force is applied 10 cm from the opposite end. Both forces are applied in the same direction. (a) Find the angular acceleration. (b) Determine the force needed for the rod to be in equilibrium, if the third force is applied at a 300 angle halfway between the 2.5 N and the axis of rotation. (72.6; -5.5)A kitchen door is attached to a vertical support by a set of hinges. Assume the door is uniform and has height 2.40 m, width 0.865 m, and mass 21.0 kg. A. Determine its moment of inertia (in kg · m2) for rotation on its hinges. B. Are any pieces of data unnecessary? (Select all that apply.) The height of the door is unnecessary. The width of the door is unnecessary. The mass of the door is unnecessary. No; all of the data are necessary.
- Problem 2: A hollow sphere of mass M and radius R rolls without slipping up a rough incline that makes an angle with the horizontal. Find the magnitude of the linear acceleration a of the center of mass of the sphere. α= α= a=39-sin-sine 59 3 59 cos e α M a = 3g sin 0 R 5 D 79 a = g sin 0A top is a toy that is made to spin on its pointed end by pulling on a string wrapped around the body of the top. The string has a length of 63 cm and is wrapped around the top at a place where its radius is 2.0 cm. The thickness of the string is negligible. The top is initially at rest. Someone pulls the free end of the string, thereby unwinding it and giving the top an angular acceleration of +14 rad/s2. What is the final angular velocity of the top when the string is completely unwound?A 17.0-m length of hose is wound around a reel, which is initially at rest. The moment of inertia of the reel is 0.490 kg-m², and its radius is 0.150 m. When turning, friction at the axle exerts a torque of magnitude 3.20 N-m on the reel. If the hose is pulled so that the tension in it remains a constant 26.0 N, how long does it take to completely unwind the hose from the reel? Neglect the mass and the thickness of the hose, and assume that the hose unwinds without slipping.
- A top is a toy that is made to spin on its pointed end by pulling on a string wrapped around the body of the top. The string has a length of 52 cm and is wrapped around the top at a place where its radius is 2.2 cm. The thickness of the string is negligible. The top is initially at rest. Someone pulls the free end of the string, thereby unwinding it and giving the top an angular acceleration of +11 rad/s². What is the final angular velocity of the top when the string is completely unwound? Number Before string is pulled After string is pulled UnitsTwo children hang by their hands from the same tree branch. The branch is straight, and grows out from the tree trunk at an angle of 27.0° above the horizontal. One child, with a mass of 41.0 kg, is hanging 1.05 m along the branch from the tree trunk. The other child, with a mass of 31.0 kg, is hanging 2.35 m from the tree trunk. What is the magnitude of the net torque exerted on the branch by the children? Assume that the axis is located where the branch joins the tree trunk and is perpendicular to the plane formed by the branch and the trunk.A uniform disc of mass 3.0 kg and radius 25 cm is mounted on a fixed horizontal axle. A block with mass 1.8 kg hangs from a light cord that is wrapped around the rim of the disc. What is the angular acceleration of the disc?
- Two wheels A and B in the figure are connected by a belt that does not slip. The radius of B is 4.30 times the radius of A. What would be the ratio of the rotational inertias IA/IB if the two wheels had (a) the same angular momentum and (b) the same rotational kinetic energy? (the absolute tolerance for the answer of a is ± 0.001)(the absolute tolerance for the answer of b is ± 0.0001)Two children hang by their hands from the same tree branch. The branch is straight, and grows out from the tree trunk at an angle of 27.0° above the horizontal. One child, with a mass of 43.0 kg, is hanging 1.25 m along the branch from the tree trunk. The other child, with a mass of 32.0 kg, is hanging 2.10 m from the tree trunk. What is the magnitude of the net torque exerted on the branch by the children? Assume that the axis is located where the branch joins the tree trunk and is perpendicular to the plane formed by the branch and the trunk.The distance from the fisherman's hand to the tip of the pole is L = 2.14 m. A fish is on the line, and it pulls the line with a force of F = 116 N at an angle 37.0° below the horizontal. What is the magnitude of the torque (in N · m) exerted by the fish about an axis perpendicular to the page and passing through the fisherman's hand? A fisherman in a boat holding a fishing pole has a fish at the end of his line. The pole is of length L and he is holding it an angle of 20.0° above the horizontal. The fishing line, which extends from the end of the pole, makes an angle of 37.0° below the horizontal. A dotted line extends from the tip of the pole and makes an angle of 20.0° above the horizontal. An arrow labeled vector F points along the fishing line toward the fish.