Explanation Given information: The weight ( W ) of disk A is 10 lb. The radius ( r ) of disk A is 6 in . . The velocity ( v ) of belt is 40 ft/s. The kinetic friction ( μ k ) of between the disk and the belt is 0.20. Calculation: Sketch the free body diagram of disk A as shown in Figure (1). Here, F is the friction force, N is the normal force, and m is the mass of the disk. Refer Figure (1), Take moment about A . M = r F Write the equation of friction force ( F ). F = μ k m g Find the equation of work done ( U 1 → 2 ) of the system using the equation: U 1 → 2 = M θ Substitute r F for M . U 1 → 2 = r F θ Substitute μ k m g for F . U 1 → 2 = r ( μ k m g ) θ Write the equation of mass moment of inertia of the disk A . I ¯ = 1 2 m r 2 Write the equation of final angular velocity of disk. ω 2 = v r The initial kinetic energy ( T 1 ) of the disk A is zero. Find the kinetic energy ( T 2 ) of the disk A at final position using the equation: T 2 = 1 2 I ¯ ω 2 2 Substitute 1 2 m r 2 for I ¯ and = v r for ω 2 . T 2 = 1 2 ( 1 2 m r 2 ) ( v r ) 2 = m v 2 4 Find the number of revolutions executed by the disk before it attains a constant angular velocity

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Inertia can be termed as a resistance offered by a body to change its state. A rigid body initially at rest will apply resistance when acted by an external force that tends to change its state of rest or velocity, or a body initially at motion will provi…

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Chapter 17.1, Problem 17.7P

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The number of revolutions executed by the disk before it attains a constant angular velocity.

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VECTOR MECH...,STAT.+DYNA.(LL)-W/ACCESS

Ch. 17.1 - A round object of mass m and radius r is released...Ch. 17.1 - Prob. 17.2CQ Ch. 17.1 - Prob. 17.3CQ Ch. 17.1 - Prob. 17.4CQ Ch. 17.1 - Slender bar A is rigidly connected to a massless...Ch. 17.1 - A 200-kg flywheel is at rest when a constant 300...Ch. 17.1 - The rotor of an electric motor has an angular...Ch. 17.1 - Prob. 17.3P Ch. 17.1 - Two disks of the same material are attached to a...Ch. 17.1 - Prob. 17.5P

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