File: PULLEY


Connected motion Problems.
==========================

[ PULL1 ]

	Two particles of mass B and C are connected by a light string
	passing over a smooth pulley.
	Find the acceleration of the particle of mass B.

[ PULL2 ]

	A particle of mass 4 kg rests on a smooth horizontal table.
	It is connected by a light inextensible string passing over a smooth
	pulley at the edge of the table to a particle of mass 2 kg, which
	is hanging freely.
	Find the acceleration of the system and the tension in the string.

				(from Bostock and Chandler 1975)

[ PULL3 ]

	A particle of mass 5 kg rests on a rough horizontal table.
	It is connected by a light inextensible string passing over a smooth
	pulley at the edge of the table to a particle of mass of 6 kg, which
	is hanging freely.
	The coefficient of friction between the 5 kg mass and the table is 1/3.
	Find the acceleration of the system and the tension in the string.

				(from Bostock and Chandler 1975)

[ PULL4 ]

	Two particles of mass 3 kg and 4 kg are connected by a light
	inextensible string passing over a smooth fixed pulley.
	The system is released from rest with the string taut and both
	particles at a height of 2 m above the ground.
	Find the velocity of the 3 kg mass when the 4 kg mass reaches the
	ground.
				(from Bostock and Chandler 1975)

[ PULL5 ]

	A string passing over a smooth fixed pulley supports at its two ends
	smooth moveable pulleys of masses 5 lb and 6 lb respectively.
	Over the first of the moveable pulleys passes a string having masses
	of 3 lb and 4 lb at its ends, and over the second a string having
	masses of 2 lb and 3 lb at its ends.
	Find the acceleration of the moveable pulleys and of each of the
	masses.
				(from Humphrey 1930)

[ PULL6 ]

	Two particles of mass 3 kg and 5 kg are connected by a light 
	inextensible string passing over a smooth pulley which is fixed
	to the ceiling of a lift.
	Find the tension in the string when the system is moving freely
	and the lift has a downward acceleration G ms-2.

				(from Bostock and Chandler 1975)

[ PULL7 ]

	Two particles of masses M and 4M are connected by a light inextensible
	string which passes over a pulley of radius A.
	The pulley is free to turn in a vertical plane without friction about
	a horizontal axis through its centre and the moment of inertia about
	this axis is MA^2.
	The system is released from rest and the string does not slip on the
	pulley. 
	Find the accelerations of the particles and the distance each moves
	in time T.
	Also find the tensions in the string.

				(A-level exam: AEB)

[ PULL8 ]

	A particle of mass M1 is in contact with the smooth sloping face of
	a wedge which is itself standing on a smooth horizontal surface.
	If the mass of the wedge is M2 and the sloping face of the wedge is
	inclined at an angle 30 degrees to the horizontal find the
	acceleration of the wedge in terms of M1 and M2.

				(from Bostock and Chandler 1975)

[ PULL9 ]

	Particles of mass M and 2M are connected by a light string which
	passes over a pulley at the vertex of a wedge shaped block, one
	particle resting on each of the faces which are smooth.
	The mass of the wedge being N, and the inclination of the faces
	to the horizontal being Alpha, find the acceleration of the wedge
	and the particles when the wedge is placed on a smooth horizontal
	table.

				(from Humphrey 1930)

[ PULL10 ]

	A wedge of mass N, whose section ABC is a triangle right angled
	at A, is placed with the face BC on a smooth horizontal table.
	The faces AB and AC are rough, the coefficient of friction being Mu.
	Two masses M1 and M2, connected by a light inextensible string passing
	over a light frictionless pulley at A, rest on the faces AB and AC
	respectively.
	M1 moves down AB with acceleration F1.
	Find F1, and the acceleration F2 of the wedge.

				(from Humphrey 1930)


