Please Solve using angular momentum
Mass in Cone. Masses A and each of mass m, are attached at the ends of a string that runs through...
4. A ball of mass m is on a frictionless table. A string is attached to the ball goes through a hole as shown. A mass M is hung from the string. M If the ball is originally a distance l from the hole, what angular velocity must it be given to the mass m so that the mass M will remain at rest? If the mass M is pulled down so that the ball goes in a circle of...
14. Two masses are connected by a string which passes over a pulley with negligible mass and friction. One mass hangs vertically and one mass slides on a frictionless 30.0 degree incline. The vertically hanging mass is 6.00 kg and the mass on the incline is 4.00 kg. The magnitude of the acceleration of the 4.00 kg mass is 15. Two masses are connected by a string which passes over a pulley with negligible mass and friction. One mass hangs...
A mass M = 4 kg attached to a string of length L = 2.0 m swings in a horizontal circle with a speed V. The string maintains a constant angle theta θ= 46.5 degrees with the vertical line through the pivot point as it swings. What is the speed V required to make this motion possible?
2. A small box of mass m is kept on a fixed, smooth sphere of radius R at a position where the radius through the box makes an angle of 30° with the vertical. The box is released from the position. (a) What is the force exerted by the sphere on the box just after the release? (b) Find the distance travelled by the box before it leaves contact with the sphere. 3. A particle is suspended from a fixed...
A ball of mass m is suspended from a string, and after being
given a push,moves along a horizontal circular path like the one
shown in the diagram.The length of the string is L and the angle
the string makes with the vertical axis is a constant θ. As you
watch the ball travel around it’s circular path you notice that the
ball is traveling with an unknown constant speed. The only forces
acting on the ball are the forces...
In the apparatus shown above, one end of a string of length L is
attached to a block of mass M and the other end is connected to the
axle of a motor that rotates, causing the block to move in a circle
of radius R at a constant speed vT such that the string makes an
angle θ with the vertical. A student wants to use the apparatus to
make measurements and create a graph that can be used...
A simple pendulum consists of a ball of mass M hanging from a uniform string of mass m and length L, with m << M. (a) If the period of oscillations for the pendulum is T, derive an expression for the speed of a transverse wave in the string when the pendulum hangs at rest in terms of m, M, T and g (the acceleration due to gravity). Your expression should not include L. (b) If the string is made...
3. A ball of mass m is attached to a vertical pole with a length of string L and spun with a constant speed v in a horizontal circle. a. Draw a free body diagram of the ball below: (5) ( b. Write expressions for Newton's 2nd Law in the x- and y-directions. (20) Assume that m = 3.50 kg, and the speed of the ball is 6.50 m/s. c. Find the magnitude of the tension in the string. (5)...
feet per second and in miles per second 18 An object of mass m is moving horizontally through a medium which resists the motion with a force that is a func- tion of the velocity; that is, d's dv f(v) dt =m dt2 where v = s(1) represent the velocity and at time , respectively. For example, v(t) and s position of the object think of a boat moving through the water. (a) Suppose that the resisting force is proportional...
Question 7(a). A string is wound around a uniform disc of mass M and radius R. The dise is released from rest with the string vertical and its top end tied to a fixed bar (Fig.4). Find 6 the tension in the string. (ii) the magnitude of acceleration of the centre of mass. (ii) the speed of the centre of mass of the disc after it has descended through the distance h. 2 121 121 Figure 4 Question 7(b). A...