A box of mass m is released from rest on a frictionless slope as depicted on the left...
A hollow cylinder is released from rest and rolls down the incline without slipping. The incline has an angle of thera=40 degrees with the horizontal. The mass and radius of the cylinder is M=5kg and R=0.55m respectively. Moment of inertia of a hollow cylinder is I=MR^2. a)Draw the free body diagram of the hollow cylinder showing all the forces and their components. b) Using newtons 2nd law for linear and rotational motion, derive an expression for linear acceleration of the...
A cylinder of radius R=15.0cm and mass m=900g is released from rest at the top of an incline of height h=10.0m. It rolls, without slipping, to the bottom of the incline. Calculate cylinder's: a)moment of inertia about its center of rotation. b)angular velocity at the bottom of the incline.
(5 points) A box of mass m is released from rest at the top of a slope of length L at angle θ above the ground. The coefficient of kinetic friction between the box and the slope is μk. (a) (2 points) Draw a figure for the problem, and the free body diagram. and solve for the net forces (b) (1 point) Solve for the net forces along the two axes. (c) (1 point) Solve for acceleration down the slope...
A box of mass M is released from rest at location A on the track with a trapezoid cross-section as shown below. The elevated region between A and B is smooth and so is the elevated region between C and D. The flat region between B and C is rough; in this region the motion of the box is retarded. The box slides smoothly from A to B with uniform acceleration of magnitude g sin skids from B to C...
3. The solid homogeneous cylinder is released from rest on the ramp. A steady wind force of 5 lb acts on the cylinder as it rolls or slips (to be determined) down the slope. The wind force acts through the mass center, G in a direction parallel to the slope, i.e., opposite to the frictional force, F W 20 lb 12" wind 5 Ib If 0 20°, H, 0.35 and 0.25 (a) Draw the freebody diagram (b) Determine the magnitude...
A 50 kg block is released from rest on a frictionless ramp inclined at an angle of 30degrees with respect to the horizontal, as shown in the figure below. Calculate the resulting acceleration of the block down the ramp.
An object with a mass, m = 5 kg, is released from rest at the top of the ramp. The length of the ramp is 2.3 m. The object slides down the ramp reaching a speed of 2.1 m/s at the bottom. a) If the friction force between the ramp and the object is 3 N, find the angle between the ramp and the horizontal theta (in degrees). b) What speed (in m/s) does the object reach at the bottom...
1. A box (mass m = 20 kg) is placed on a slope (LaTeX: \thetaθ = 40°), as shown in the diagram below. The coefficients of friction between the box and the slope are LaTeX: \muμs = 0.6 and LaTeX: \muμk = 0.4. The box is released from rest on the slope. Determine the acceleration of the box after it is released. 2.A diving board has length of 1.8 m and a total mass of 65 kg. However, the mass...
Scenario A thin hoop of mass M and radius R is released from rest at the top of a ramp of length L as shown at right. The ramp makes an angle with respect to a horizontal tabletop to which the ramp is fixed. The table top is height H above the floor. Assume that the hoop rolls without slipping down the ramp and across the table. Express all algebraic answers in terms of given quantities and fundamental constants. PARTC:...
A box is released from rest at the top of a ramp. The surface of the ramp makes an angle of 31.5degrees with the horizontal, and is rough; the coefficients of friction between the ramp and the box are us = 0.500 and pk = 0.350. What is the magnitude of the acceleration of the box?