A block of mass M = 109.0 kg on an inclined plane is attached to another block of mass m via a string, as in the figure below. The coefficients of static and kinetic friction forthe block and the incline are u, = 0.40 and uy = 0.20 and the plane is inclined 16.9° with horizontal.(a) Determine the range of values for m, the mass of the hanging block, for which the block will not move unless disturbed, but if nudged, will slide down the incline.73.4kg s m s.03kg(b) Determine a range of values for m for which the block will not move unless nudged, but if nudged will slide up the incline.52.94kg s m s 10.82kgeBook

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A block of mass M = 109.0 kg on an inclined plane is attached to another block of mass m via a string, as in the figure below. The coefficients of static and kinetic friction for the block and the incline are u, = 0.40 and uy = 0.20 and the plane is inclined 16.9° with horizontal.

A block of mass M = 109.0 kg on an inclined plane is attached to another block of mass m via a string, as in the figure below. The coefficients of static and kinetic friction for the block and the incline are u, = 0.40 and uy = 0.20 and the plane is inclined 16.9° with horizontal.

Mechanics of Materials (MindTap Course List)

9th Edition

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Chapter2: Axially Loaded Members

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Concept explainers

Axial Load

When a bar of the uniform cross-section is acted by a load, such that the load acts along the longitudinal axis of the bar, such kinds of loadings are known as axial loadings. In general terms, a load is an external force acting on a component. An axial load acts perpendicular to the geometric cross-section of the component. Based on the direction of the application of the load, an axial load can be tensile or compressive. The analysis of bodies under the action of axial loads is generally studied under the branch of mechanics, known as statics.

Question

A block of mass M = 109.0 kg on an inclined plane is attached to another block of mass m via a string, as in the figure below. The coefficients of static and kinetic friction for
the block and the incline are u, = 0.40 and uy = 0.20 and the plane is inclined 16.9° with horizontal.
(a) Determine the range of values for m, the mass of the hanging block, for which the block will not move unless disturbed, but if nudged, will slide down the incline.
73.4
kg s m s.03
kg
(b) Determine a range of values for m for which the block will not move unless nudged, but if nudged will slide up the incline.
52.94
kg s m s 10.82
kg
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