64. A solid cube of wood of side 2a and mass M is resting on a horizontal surface. The cube is constrained to rotate about a fixed axis AB (Fig. P11.64). A bullet of mass m and speed v is shot at the face opposite ABCD at a height of 4a/3. The bullet becomes embedded in the cube. Find the minimum value of v required to tip the cube so that it falls on face ABCD. Assume m ,, M.
with good explanantion
31 A solid cube of side 2a and mass M is sliding on a frictionless surface with uniform velocity v with arrow, as shown in Figure a. It hits a small obstacle at the end of the table that causes the cube to tilt as shown in Figure b. Find the minimum value of the magnitude of v with arrow such that the cube tips over and falls off the table. Note: The cube undergoes an inelastic...
answer all parts
Figure 3: A rotating shaft with the welded homogeneous solid cube of mass m with the size of the edge 2a. 6. A weightless (light) shaft AB of length 6a has a homogeneous solid cube of mass m with the size of the edge equal to 2a welded to the shaft along the edge CD, see Figure 3. The system is supported by bearings at A and B and rotates about AB at 2 radians per second....
A homogeneous cube of mass M and side L is located in a
horizontal plane fixed in one of the lower vertex as show as
figure. A projectile of mass m and initial Velosidad v
inelastically collides at an h height and stopping at the vertical
of the center of Mass. Determine the minimum required speed of the
projectile to make the cube made a rotation of 90 degrees around
the fixed vertex.
(M= 25Kg; m=0.25kg; L = 0.5 m;...
Question 13 (a) What does it mean to say that an object is dynamically balanced? How is this different to an object being statically balanced? [2 mark] b) A uniform solid cylinder of mass m- 2kg and diameter D 0.2m is resting against an inclined plane when it is struck by a 70g bullet. The cylinder is initially in contact with the plane at point A. The bullet was travelling horizontally at 350m/s and hits the cylinder at its midpoint....
A homogeneous cube of mass M and side L is located in a
horizontal plane fixed in one of the lower vertex as show as
figure. A projectile of mass m and initial Velosidad v
inelastically collides at an h height and stopping at the vertical
of the center of Mass. Determine the minimum required speed of the
projectile to make the cube made a rotation of 90 degrees around
the fixed vertex.
(M= 25Kg; m=0.25kg; L = 0.5 m;...
A uniform door initially at rest has a width W = 1.5m and mass M= 20 kg. The door is hinged on one side and can freely rotate about the hinges without friction. A policeman fires a bullet, m, = 15 g into the door at a speed v. = 500m/s. The bullet takes a horizontal path and strikes the door in a perpendicular direction at the exact center. The moment of inertia of the door about an axis passing...
1) What will be the speed of a solid sphere of mass M and radius R0 when it reaches the bottom of incline if it starts from rest at a vertical height of H and rolls without slipping? Compare to the case of an object sliding down with no rotation. (replace the variables with any number) 2) A bullet of mass m and v strikes and becomes imbedded at the edge of a cylinder of mass m and radius R0....
A solid wood door 1.00 m wide and 2.00 m high is hinged along one side and has a total mass of 40.0 kg . Initially open and at rest, the door is struck at its center by a handful of sticky mud with mass 0.300 kg , traveling perpendicular to the door at 14.0 m/s just before impact. 1.Find the final angular speed of the door. 2.Does the mud make a significant contribution to the moment of inertia?
Investigation 1 - Connected Particles (Maximum Mark 45) A block mass M kg is resting on the horizontal top of a cube. The coefficient of friction between the block and the cube is u. Two strings are attached to the sides of the block. One string passes over a pulley and is attached to an object of mass m kg which is hanging freely a height h metres above the ground. The other string passes over another pulley on the...
4) Figures 4A (side view) and 4B (overhead view) illustrates a uniform solid cylinder having mass M and radius R. The cylinder is positioned on a horizontal floor having sufficient friction to ensure that the cylinder can roll without slipping. The cylinder includes a mass-less yoke that is fixed to the symmetric axis of the cylinder and acts as a rolling friction-less pivot for the cylinder. An ideal spring having spring constant K is attached to the yoke at one...