A cube with side length a = 80 cm and made out of concrete ( density of 1.8 · 10 kg/m³ ) should be turned around the lower left edge serving as an axis of rotation. A rope is attached to the upper right edge with an angle of 35° towards the horizontal. Calculate the necessary force one has to pull at the rope to start moving the right edge of the cube off ground.

A cube with side length a = 80 cm and made out of concrete ( density of 1.8 · 10 kg/m³ ) should be turned around the lower left edge serving as an axis of rotation. A rope is attached to the upper right edge with an angle of 35° towards the horizontal. Calculate the necessary force one has to pull at the rope to start moving the right edge of the cube off ground.

University Physics Volume 1

18th Edition

ISBN:9781938168277

Author:William Moebs, Samuel J. Ling, Jeff Sanny

Publisher:William Moebs, Samuel J. Ling, Jeff Sanny

Chapter10: Fixed-axis Rotation

Section: Chapter Questions

Problem 47P: A man stands on a merry-go-round that is rotating at 2.5 rad/s. If the coefficient of static...

See similar textbooks

Similar questions

A beam of length 1.7 m is attached by a pin and is being held up by a horizontal wire attached to the end of the beam. If the horizontal wire has a tension of 1852 N and ? = 53.3o, what is the magnitude of the torque exerted by the horizontal wire on the beam about the pin?
A spade is modelled as a uniform rod, of mass 2kg and length 90cm, attached to a uniform square lamina, of side 20cm and mass 0.5kg. A gardener holds the spade horizontally with hands 30cm and 60cm from the end of the rod. Find the vertical forces exerted by the gardener's hands. Im stuck on this q, pls help.
A beam of length 5.4 meters is attached to the ground by a pin and is being held up by a horizontal wire. A block is hanging off the beam with x = 3.6 meters from the pin as shown. If the horizontal wire has a tension of 986 Newtons and theta = 53.9 degrees, what is the magnitude of the torque exerted by the horizontal wire on the beam about the pin?
he wheels of a wagon can be approximated as the combination of a thin outer hoop, of radius ?h=0.421 mrh=0.421 m and mass 5.27 kg5.27 kg, and two thin crossed rods of mass 7.37 kg7.37 kg each. A farmer would like to replace his wheels with uniform disks ?d=0.0588 mtd=0.0588 m thick, made out of a material with a density of 6450 kg6450 kg per cubic meter. If the new wheel is to have the same moment of inertia about its center as the old wheel about its center, what should the radius of the disk be?
Calculate the magnitude of the total torque in the center of a square, giving that the square side equals 40 cm. Forces Fx = 5 N, Fy = 4 N are applied to the neighboring vertices and the vectors of Fx and Fy forces are parallel to each other with the same senses.
Batman has a mass of 0.950kg and is hanging vertically from a light cord that runs over a cylindrical pulley with a mass of 0.350kg placed at the top of an inclined plane that makes an angle of 60.0° with respect to the horizontal. His enemy, Joker, who has a mass of 0.600kg, is laying on the smooth incline holding onto the other end of the cord that Batman is holding on to while hanging off the back of the incline. What will be the magnitude of the acceleration of Batman and Joker?
A uniform sphere of weight 50 N and radius 4 cm is held by a string of length 8 cm, against a smooth wall inclined at an angle of 70 degrees, Find the tension in the string, and the force between the ball and the wall
The wheels of a wagon can be approximated as the combination of a thin outer hoop of radius ?h=0.580 mrh=0.580 m and mass 4.32 kg,4.32 kg, and two thin crossed rods of mass 7.80 kg7.80 kg each. Imagine replacing the wagon wheels with uniform disks that are ?d=4.62 cmtd=4.62 cm thick, made out of a material with a density of 6910 kg/m3.6910 kg/m3. If the new wheel is to have the same moment of inertia about its center as the old wheel about its center, what should the radius of the disk be?
A person pushing a horizontal, uniformly loaded, 27.15 kg27.15 kg wheelbarrow of length ?L is attempting to get it over a step of height ℎ=0.370?,h=0.370R, where ?R is the wheel's radius. The center of gravity of the wheelbarrow is in the center of the wheelbarrow. What is the horizontal component ??Px of the minimum force ?⃗ P→ necessary to push the wheelbarrow over the step? The gravitational acceleration is ?=9.81 m/s2.
A baseball of mass m = 0.155 kg is suspended vertically from a tree by a string of length L = 1.1 m and negligiblemass. Take z as the upward vertical direction. A short-duration force F = Fyj + Fzk is applied to the baseball by a bat, momentarilycreating a torque τ about the top of the string. Part (e) In order to obtain a torque of τ = (11.5 N˙m)j, what must the value of the y-component of the force, Fy, be, in newtons?Numeric : A numeric value is expected and not an expression.
A person pushing a horizontal, uniformly loaded, 26.90 kg26.90 kg wheelbarrow of length ?L is attempting to get it over a step of height ℎ=0.470?,h=0.470R, where ?R is the wheel's radius. The center of gravity of the wheelbarrow is in the center of the wheelbarrow. What is the horizontal component ??Px of the minimum force ?⃗ P→ necessary to push the wheelbarrow over the step?
In unit-vector notation, what is the net torque about the origin on a flea located at coordinates (0,4.0 m) when forces F1= (3.0N)k̂ and F2 = (−2.0N)ĵ act on the flea?