Figure 5.33 shows an arrangement in which four disks are suspended by cords. The longer, top cord loops over a frictionless pulley and pulls with a force of magnitude 98 N on the wall to which it is attached. The tensions in the three shorter cords areand . (a) What is the mass of disk A (b) What is the mass of disk B, (c) What is the mass of disk C, and (d) What is the mass of disk D?
a) Mass of Disk A is .
b) Mass of Disk B is .
c) Mass of Disk C is .
d) Mass of Disk D is .
The tension will be equal to the weight of the mass attached to that string. With this, we can find the masses of all disks. Since the system is in equilibrium, the net force on all the disks is zero.
Weight of the block, (i)
Where m is the mass of disk, g is the acceleration due to gravity.
Tension in the string balances the weight of the block, (ii)
As T3 has attached to only disk D, so from equation (ii), we get
Substitute the values in the above equation.
Hence, the value of mass of disk D is
As, T2 has attached to disk C and D, so from equation (ii), we get
As T1 has attached to disk B, C and D, so from equation (ii), we get
Hence, the value of mass of disk B is
As the pulling force given to us is 98 N. So that would be equal to the sum of weights of all disks.
In Figure 5-51a, a constant horizontal force is applied to block A, which pushes against block B with a force directed horizontally to the right. In Figure 5-51b, the same force is applied to block B; now block A pushes on block B with a 10.0N force directed horizontally to the left. The blocks have a combined mass of 1,2 kg . (a) What is the magnitude of their acceleration in Figure 5-52 (a) and (b) What is the magnitude of force F?
A worker drags a crate across a factory floor by pulling on a rope tied to the crate. The worker exerts a force of magnitude on the rope, which is inclined at an upward angle to the horizontal, and the floor exerts a horizontal force of magnitude that opposes the motion. Calculate the magnitude of the acceleration of the crate if (a) its mass is and (b) its weight is .
A dated box of dates, of mass , is sent sliding up a frictionless ramp at an angle of to the horizontal Figure gives, as a function of time t, the component vx of the box’s velocity along an x axis that extends directly up the ramp. What is the magnitude of the normal force on the box from the ramp?
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