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an object of mass 90 kg is being moved over an inclined plane of two angles 30 and 60. Calculate the force required in each case to achieve the acceleration of 1 m/s^2
A worker is using a overhead crane to move crates from point A to point B. How many minutes would it take the worker to move sixty five 100-pound crates?
Note that the overhead crane has a 1000-pound lifting capacity. Each trip with the crane took 2-minutes to complete.
Characteristise the flow of liquid which is flowing through a tube of radius 0.005m with
velocity 0.3m/s.
A ring and a disc are initially at rest, side by side, at the top of an inclined plane which makes
an angle 60° with the horizontal. They start to roll without slipping at the same instant of
time along the shortest path. If the time difference between their reaching the ground is
(2 − √3) /√10
Moment of inertia of a semicircular ring of mass πkg and radius 2cm about the axis passing through a point perpendicular to it's plane
Why after gaining external force balls hanging uniformly from different strings are oscillating in different directions from the state of equilibrium.
A smooth sphere of radius R is made to translate in a straight line with a constant acceleration a. A particle kept on the top of the sphere is released from there at zero velocity with respect to the sphere. Find the speed of the particle with respect to the sphere as a function of angle theta as it slides
Solve the heat conduction equation:
for the following boundary and initial conditions:

u(0,t) = u(5,t) = 0,
u(x,0) =2sin(πx)− 4sin(2πx)
Question 20
A block of mass 1.8kg is at rest on a smooth horizontal table. The block is connected to a hanging mass of 2kg, by a light inextensible string and frictionless pulley system as shown in Figure 5. The hanging mass is then released from rest. Determine;
(a) The acceleration of the block/hanging mass system (b) The tension in the string.
Question 19
A coin placed 0.4m from the centre of a rotating, horizontal turntable slips when its speed is 0.6 m/s. What is the coefficient of static friction between the coin and turntable?